Question 1

Mrs.Beluga is driving on a snow-covered road with a drag factor of 0.2.She brakes suddenly for a deer.The tires leave a yaw mark with a 52-foot chord and a middle ornate of 6 feet.What is the minimum speed she could have been going?
A) 13.3 mph
B) 23.6 mph
C) 30.2 mph
D) 46.3 mph

Accepted Answer

The minimum speed is 13.3 mph. The drag factor is 0.2, the chord is 52 feet, and the middle ordinate is 6 feet. The formula for the minimum speed is:```v = sqrt((30 * f * d) / (mu * s))```where:* v is the minimum speed in mph* f is the drag factor* d is the chord length in feet* mu is the coefficient of friction* s is the middle ordinate in feetPlugging in the given values, we get:```v = sqrt((30 * 0.2 * 52) / (0.8 * 6))``````v = 13.3 mph```

Question 2

Nathan wants to buy a car that costs $25,920.He has $3,000 as a down payment,and his payments will be $450 for 6 years.Through research he discovers that the value of the car will depreciate to a value of zero in 12 years.After how long will the expenses of the car be equal to the value of the car?
A) 2 years
B) 3 years
C) 4 years
D) 5 years

Accepted Answer

B

Question 3

Pamela called nine repair shops for quotes for auto repairs.The prices are $139,$150,$345,$99,$167,$155,$140,$200,and $160.She calculates to find there are no outliers in the data.

Accepted Answer

An outlier is a data point that is significantly different from the other data points. In this case, $345 is much higher than the other prices, indicating it is an outlier.

Question 4

Tonya wants to place an advertisement in a local newspaper to sell her car.This piecewise function shows in the cost of the advertisement given that x equals the number of lines. ​  ​
If the advertisement she wants to place will be 7 lines,how much will the paper charge her?
A) $32.50
B) $29.00
C) $26.50
D) $22.00

Accepted Answer

The answer of Tonya wants to place an advertisement in...

Question 5

Saheel has $20,000 property damage insurance and $5,000 comprehensive and collision insurance with a $500 deductible.One evening he slides on a patch of ice and hits a parked car,causing $4,500 worth of damage.The accident causes $1,750 of damage to his own car.How much will the insurance pay to fix both cars?
A) $5,750
B) $6,250
C) $8,250
D) $24,500

Accepted Answer

The insurance will cover the $4,500 damage to the parked car under property damage insurance. For Saheel's car, the damage is $1,750, but he has a $500 deductible, so the insurance will pay $1,250 ($1,750 - $500). Total insurance payout is $4,500 + $1,250 = $5,750.

Question 6

A car traveling on asphalt makes a sudden stop.The drag factor of the road is 0.7 and the brakes are operating at 90% efficiency.If the car leaves 4 distinct skid marks that are 60 feet long,then the car was traveling about 37 miles per hour.

Accepted Answer

The answer of A car traveling on asphalt makes a...

Question 7

Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver.

Accepted Answer

Property damage liability only covers damage to someone else's property and not bodily injuries to a driver or their passengers. Bodily injury liability covers injuries to a driver or their passengers caused by them, but not by uninsured or underinsured drivers. Uninsured/underinsured motorist insurance is typically needed to cover injuries caused by uninsured/underinsured drivers.

Question 8

Sarah bought a 7-year old car for $10,500.When the car was new,it sold for $21,000.Therefore,the depreciation rate is 9.4%.

Accepted Answer

The calculation for depreciation rate is:
Depreciation Rate = ((Cost of asset - Residual value)/Cost of asset)) x 100%

Here, 
Cost of asset = $21,000
Residual value = $0 (given)
Depreciation Rate = ((21,000-0)/21,000) x 100% = 100%

Since the car is 7 years old, the annual depreciation rate would be:
Annual Depreciation Rate = Depreciation Rate / Useful life
Useful life of a car is generally considered to be 10 years. 
Annual Depreciation Rate = 100%/10 = 10%

Thus, the depreciation rate is not 9.4%, but is actually 10%.

Question 9

Cars with ABS or anti-lock brakes do not leave skid marks.

Accepted Answer

ABS or anti-lock brakes can reduce the length of skid marks, but they do not completely eliminate them. In emergency situations, there may still be some skidding and tire marks on the road.

Question 10

Victor found 5 cars online that he will go to see.The prices of the cars are: $5,000;$4,500;$5,500;$3,999;and $4,999.The median car price is $4,799.60.

Accepted Answer

To find the median, we need to arrange the prices in order from smallest to largest:

$3,999, $4,500, $4,999, $5,000, $5,500

The middle value is the median. In this case, there are 5 values, so the middle value is the third one, which is $4,999. Therefore, the median car price is $4,999, not $4,799.60.

Question 11

In the box-and-whisker plot below,50% of the data is between 30 and 70.
​

Accepted Answer

In a box-and-whisker plot, the box represents the middle 50% of the data. If 50% of the data is between 30 and 70, then it must be contained within the box, so this statement is true.

Question 12

Yolanda wants to buy a fuel-efficient car.She finds one that can travel 465 miles on one tank of gas.If the gas tank holds 15 gallons,the car gets about 41 miles per gallon.

Accepted Answer

The car gets 31 miles per gallon, not 41. To find the miles per gallon, divide the total miles by the number of gallons: 465 miles / 15 gallons = 31 miles per gallon.

Question 13

Cherie pays her car insurance monthly.Her annual premium is $984.Each month she is charged a $2 convenience fee.If her annual premium is divided equally into twelve monthly payments,how much is her monthly insurance payment?
A) $94
B) $92
C) $84
D) $82

Accepted Answer

Her annual premium of $984 divided by 12 months equals $82. Adding the $2 convenience fee makes the total monthly payment $84.

Question 14

The fee that a driver pays to have automobile insurance is called a deductible.

Accepted Answer

The fee that a driver pays to have automobile insurance is called a premium. A deductible is the amount that the policyholder must pay out-of-pocket before the insurance company will cover the remaining costs.

Question 15

Craig is an accident reconstructionist.He arrives at an accident where there are 4 skid marks of different lengths.He finds their measures to be 85 ft,92 ft,88 ft,and 90 ft.It is an asphalt road with a drag factor of 0.8.Because he does not know the efficiency of the driver's brakes,he assumes a brake efficiency of 80%.What is the minimum speed the driver could have been going?
A) 31.6 mph
B) 38.2 mph
C) 41.3 mph
D) 46.2 mph

Accepted Answer

To find the minimum speed the driver could have been going, we need to use the formula:

v = (d / (1.47 * sqrt(f * e)))

Where:
- v is the initial speed of the vehicle in mph
- d is the length of the skid marks in feet
- f is the drag factor of the road surface (0.8 in this case)
- e is the brake efficiency (80% = 0.8)

We can use this formula for each skid mark length and take the lowest speed as the minimum speed the driver could have been going:

For 85 ft: v = (85 / (1.47 * sqrt(0.8 * 0.8))) = 31.6 mph
For 92 ft: v = (92 / (1.47 * sqrt(0.8 * 0.8))) = 34.7 mph
For 88 ft: v = (88 / (1.47 * sqrt(0.8 * 0.8))) = 32.9 mph
For 90 ft: v = (90 / (1.47 * sqrt(0.8 * 0.8))) = 33.6 mph

The lowest speed is therefore 31.6 mph, which corresponds to choice C.

Question 16

Jeanette buys decals for her car from every state she visits.She made a list of the prices: $0.99,$5.10,$1.59,$1.99,$2.99,$0.80,$1.99,$1.99,$2.99,$1.59,$0.99,$3.49,and $0.80.Find the mean.
A) $2.10
B) $1.99
C) $0.99
D) $0.80

Accepted Answer

To find the mean, add all the prices together and divide by the number of prices. The sum is $26.99, and there are 13 prices, so the mean is $26.99 / 13 = $2.10.

Question 17

A car traveling at an average rate of 60 miles per hour will drive 270 miles in  hours.

Accepted Answer

To find the answer, we can use the formula: distance = rate x time. Plugging in the given values, we get: distance = 60 mph x 11.5 hours = 690 miles. However, the question asks for how far the car will travel in 11 hours, not 11.5 hours. To adjust for this, we can use proportion: 
60 mph = distance / 11.5 hours 
Solving for distance, we get: 
distance = (60 mph) x (11 hours) / (11.5 hours) = 54.78 miles 
Rounding this to the nearest whole number, we get 55 miles, which is not the same as 270 miles. Therefore, the answer is false.

Question 18

Larry's car is worth $18,000 after 5 years.When the car was new,it sold for $24,000.What is the depreciation rate?
A) 0.5%
B) 0.6%
C) 5.6%
D) 6.9%

Accepted Answer

To find the depreciation rate, we need to determine how much value the car lost over 5 years. We can do this by subtracting the current value from the original value:

$24,000 - $18,000 = $6,000

The depreciation rate is the percentage of the original value that was lost, which we can calculate by dividing the lost value by the original value and multiplying by 100:

($6,000/$24,000) x 100 = 25%

Therefore, the depreciation rate is 25%.

Out of the answer choices provided, C is the closest to 25%, with a value of 5.6%. The other choices are too low or too high, and do not accurately reflect the depreciation rate.

Question 19

Marcia wants to get a new car stereo.She researches the cost with a variety of local car stereo installers and places her findings in a stem-and-leaf plot.  What is the median price?
A) $110
B) $115
C) $119
D) $120

Accepted Answer

The answer of Marcia wants to get a new car...

Question 20

Tony shops around for a new muffler for his car and gets these estimates: $145,$195,$150,$135,$169,$210,and $160.What are the four quartiles? A) Q₁₌$145,Q₂=$160,Q₃=$195,Q₄=$210 B) Q₁₌$135,Q₂=$145,Q₃=$195,Q₄=$210 C) Q₁₌$145,Q₂=$150,Q₃=$169,Q₄=$210 D) Q₁₌$135,Q₂=$160,Q₃=$195,Q₄=$210

Accepted Answer

The quartiles are:Q₁ = $145Q₂ = $160Q₃ = $195Q₄ = $210

Quiz 4: Automobile Ownership

Mrs.Beluga is driving on a snow-covered road with a drag factor of 0.2.She brakes suddenly for a deer.The tires leave a yaw mark with a 52-foot chord and a middle ornate of 6 feet.What is the minimum speed she could have been going?

Nathan wants to buy a car that costs $25,920.He has $3,000 as a down payment,and his payments will be $450 for 6 years.Through research he discovers that the value of the car will depreciate to a value of zero in 12 years.After how long will the expenses of the car be equal to the value of the car?

Pamela called nine repair shops for quotes for auto repairs.The prices are $139,$150,$345,$99,$167,$155,$140,$200,and $160.She calculates to find there are no outliers in the data.

Tonya wants to place an advertisement in a local newspaper to sell her car.This piecewise function shows in the cost of the advertisement given that x equals the number of lines. If the advertisement she wants to place will be 7 lines,how much will the paper charge her?

A car traveling on asphalt makes a sudden stop.The drag factor of the road is 0.7 and the brakes are operating at 90% efficiency.If the car leaves 4 distinct skid marks that are 60 feet long,then the car was traveling about 37 miles per hour.

Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver.

Sarah bought a 7-year old car for $10,500.When the car was new,it sold for $21,000.Therefore,the depreciation rate is 9.4%.

Cars with ABS or anti-lock brakes do not leave skid marks.

Victor found 5 cars online that he will go to see.The prices of the cars are: $5,000;$4,500;$5,500;$3,999;and $4,999.The median car price is $4,799.60.

In the box-and-whisker plot below,50% of the data is between 30 and 70.

Yolanda wants to buy a fuel-efficient car.She finds one that can travel 465 miles on one tank of gas.If the gas tank holds 15 gallons,the car gets about 41 miles per gallon.

Cherie pays her car insurance monthly.Her annual premium is $984.Each month she is charged a $2 convenience fee.If her annual premium is divided equally into twelve monthly payments,how much is her monthly insurance payment?

The fee that a driver pays to have automobile insurance is called a deductible.

Jeanette buys decals for her car from every state she visits.She made a list of the prices: $0.99,$5.10,$1.59,$1.99,$2.99,$0.80,$1.99,$1.99,$2.99,$1.59,$0.99,$3.49,and $0.80.Find the mean.

A car traveling at an average rate of 60 miles per hour will drive 270 miles in hours.

Larry's car is worth $18,000 after 5 years.When the car was new,it sold for $24,000.What is the depreciation rate?

Marcia wants to get a new car stereo.She researches the cost with a variety of local car stereo installers and places her findings in a stem-and-leaf plot. What is the median price?

Tony shops around for a new muffler for his car and gets these estimates: $145,$195,$150,$135,$169,$210,and $160.What are the four quartiles?

Quiz 4: Automobile Ownership

Mrs.Beluga is driving on a snow-covered road with a drag factor of 0.2.She brakes suddenly for a deer.The tires leave a yaw mark with a 52-foot chord and a middle ornate of 6 feet.What is the minimum speed she could have been going?

Nathan wants to buy a car that costs $25,920.He has $3,000 as a down payment,and his payments will be $450 for 6 years.Through research he discovers that the value of the car will depreciate to a value of zero in 12 years.After how long will the expenses of the car be equal to the value of the car?

Pamela called nine repair shops for quotes for auto repairs.The prices are $139,$150,$345,$99,$167,$155,$140,$200,and $160.She calculates to find there are no outliers in the data.

Tonya wants to place an advertisement in a local newspaper to sell her car.This piecewise function shows in the cost of the advertisement given that x equals the number of lines. ​ ​ If the advertisement she wants to place will be 7 lines,how much will the paper charge her?

A car traveling on asphalt makes a sudden stop.The drag factor of the road is 0.7 and the brakes are operating at 90% efficiency.If the car leaves 4 distinct skid marks that are 60 feet long,then the car was traveling about 37 miles per hour.

Property damage liability pays for injuries to a driver or their passengers caused by an uninsured or underinsured driver.

Sarah bought a 7-year old car for $10,500.When the car was new,it sold for $21,000.Therefore,the depreciation rate is 9.4%.

Cars with ABS or anti-lock brakes do not leave skid marks.

Victor found 5 cars online that he will go to see.The prices of the cars are: $5,000;$4,500;$5,500;$3,999;and $4,999.The median car price is $4,799.60.

In the box-and-whisker plot below,50% of the data is between 30 and 70. ​

Yolanda wants to buy a fuel-efficient car.She finds one that can travel 465 miles on one tank of gas.If the gas tank holds 15 gallons,the car gets about 41 miles per gallon.

Cherie pays her car insurance monthly.Her annual premium is $984.Each month she is charged a $2 convenience fee.If her annual premium is divided equally into twelve monthly payments,how much is her monthly insurance payment?

The fee that a driver pays to have automobile insurance is called a deductible.

Jeanette buys decals for her car from every state she visits.She made a list of the prices: $0.99,$5.10,$1.59,$1.99,$2.99,$0.80,$1.99,$1.99,$2.99,$1.59,$0.99,$3.49,and $0.80.Find the mean.

A car traveling at an average rate of 60 miles per hour will drive 270 miles in hours.

Larry's car is worth $18,000 after 5 years.When the car was new,it sold for $24,000.What is the depreciation rate?

Marcia wants to get a new car stereo.She researches the cost with a variety of local car stereo installers and places her findings in a stem-and-leaf plot. What is the median price?

Tony shops around for a new muffler for his car and gets these estimates: $145,$195,$150,$135,$169,$210,and $160.What are the four quartiles?

Tonya wants to place an advertisement in a local newspaper to sell her car.This piecewise function shows in the cost of the advertisement given that x equals the number of lines. If the advertisement she wants to place will be 7 lines,how much will the paper charge her?

In the box-and-whisker plot below,50% of the data is between 30 and 70.