Question 1

Determine the linear function f(t)with slope = -1 and f(2)= 1.

Accepted Answer

The answer of Determine the linear function f(t)with slope =...

Question 2

A function describing the value of a house purchased for $180,000 after x years of appreciation is estimated to be f(x)= 12,000x + 180,000.Graph the function on your graphing calculator.

Accepted Answer

The answer of A function describing the value of a...

Question 3

Suppose f(p)is a linear function given by f(p)=  
.Find the slope and the y-intercept.

Accepted Answer

The answer of Suppose f(p)is a linear function given by...

Question 4

An accountant can complete a simple tax return in about 1.5 hours and a complicated return in about 4 hours.If she works 8 hours per day,find an equation that shows the possible ways that both types of returns can be completed in a 5-day work week.

Accepted Answer

The answer of An accountant can complete a simple tax...

Question 5

For the parabola y = f(x)= 2  
- 4x - 6,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

Accepted Answer

The answer of For the parabola y = f(x)= 2...

Question 6

In testing an experimental diet for horses,it was determined that the (average)live weight w (in kilograms)of a horse was statistically a linear function of the number of days d after the diet was started where 0 ≤ d ≤ 300.The weight of a horse starting the diet was 170 kg and 120 days later it was 362 kg.Determine w as a linear function of d and find the average weight of a horse when d = 250.

Accepted Answer

The answer of In testing an experimental diet for horses,it...

Question 7

In testing an experimental diet for beef cows,it was determined that the (average)live weight w (in kilograms)of a cow was statistically a linear function of the number of days d after the diet was started,where 0 ≤ d ≤ 300.The weight of a cow starting the diet was 125 kg and 100 days later it was 245 kg.Determine w as a linear function of d and find the average weight of a cow when d = 200.

Accepted Answer

The answer of In testing an experimental diet for beef...

Question 8

Tickets to an opera at the Masonic Auditorium cost $14 for main floor seats and $10 for the balcony seats.If $8600 must be collected to meet expenses,what is an equation for the possible combinations of ticket sales to cover costs?

Accepted Answer

The answer of Tickets to an opera at the Masonic...

Question 9

An investor has $12,000 to purchase stock in two companies.If the first stock sells for $45 per share,and the second stock sells for $62 per share,find an equation that shows the possible ways to purchase the stock.

Accepted Answer

The answer of An investor has $12,000 to purchase stock...

Question 10

Suppose consumers will demand 30 units of a product when the price is $12 per unit and 22 units when the price is $16 each.Find the demand equation assuming that it is linear.

Accepted Answer

The answer of Suppose consumers will demand 30 units of...

Question 11

For the parabola y = f(x)=  
- 2x - 8,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

Accepted Answer

The answer of For the parabola y = f(x)= ...

Question 12

In testing an experimental diet for goats,it was determined that the (average)live weight w (in kilograms)of a goat was statistically a linear function of the number of days d after the diet was started where 0 ≤ d ≤ 100.The weight of a goat starting the diet was 12 kg and 25 days later it was 20 kg.Determine w as a linear function of d and find the average weight of a goat when d = 80.

Accepted Answer

The answer of In testing an experimental diet for goats,it...

Question 13

In testing an experimental diet for sheep,it was determined that the (average)live weight w (in kilograms)of a sheep was statistically a linear function of the number of days d after the diet was started,where 0 ≤ d ≤ 150.The weight of a sheep starting the diet was 15 kg and 40 days later it was 43 kg.Determine w as a linear function of d and find the average weight of a sheep when d =100.

Accepted Answer

The answer of In testing an experimental diet for sheep,it...

Question 14

For the parabola y = f(x)= -  
+ 7x - 6,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

Accepted Answer

The answer of For the parabola y = f(x)= -...

Question 15

Determine a linear function f(x),given f(2)= 0.5; f(1)= -1.

Accepted Answer

The answer of Determine a linear function f(x),given f(2)= 0.5;...

Question 16

Suppose that f(x)is a linear function with slope = -3 and y-intercept  
,then find the function f(x).

Accepted Answer

The answer of Suppose that f(x)is a linear function with...

Question 17

A printer charges a fixed setup cost plus a charge for every copy of single page flyers.If x is the number of copies requested,the total cost of a printing job can be described by the function f(x)= 0.02x + 80.Graph the function on your graphing calculator.

Accepted Answer

The answer of A printer charges a fixed setup cost...

Question 18

Suppose that consumers will demand 100 units of a product when the price is $10 per unit,and 120 units when the price is $8 per unit.Assuming that price p and quantity q are linearly related,find the price at which 90 units are demanded.
A) $7
B) $9
C) $11
D) $12
E) $13

Accepted Answer

The answer of Suppose that consumers will demand 100 units...

Question 19

The value of an antique figurine is expected to appreciate each year after it is purchased for $550.If x is the number of years that have passed,the current value of the figurine can be estimated by the function  
Graph the function by finding and plotting two points.

Accepted Answer

The answer of The value of an antique figurine is...

Question 20

The demand per week for a new automobile is 400 units when the price is $16,700 each,and 500 units when the price is $14,900 each.Find the demand equation for the cars,assuming that it is linear.

Accepted Answer

The answer of The demand per week for a new...

Quiz 4: Lines parabolas and Systems

Determine the linear function f(t)with slope = -1 and f(2)= 1.

A function describing the value of a house purchased for $180,000 after x years of appreciation is estimated to be f(x)= 12,000x + 180,000.Graph the function on your graphing calculator.

Suppose f(p)is a linear function given by f(p)= .Find the slope and the y-intercept.

An accountant can complete a simple tax return in about 1.5 hours and a complicated return in about 4 hours.If she works 8 hours per day,find an equation that shows the possible ways that both types of returns can be completed in a 5-day work week.

For the parabola y = f(x)= 2 - 4x - 6,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

Tickets to an opera at the Masonic Auditorium cost $14 for main floor seats and $10 for the balcony seats.If $8600 must be collected to meet expenses,what is an equation for the possible combinations of ticket sales to cover costs?

An investor has $12,000 to purchase stock in two companies.If the first stock sells for $45 per share,and the second stock sells for $62 per share,find an equation that shows the possible ways to purchase the stock.

Suppose consumers will demand 30 units of a product when the price is $12 per unit and 22 units when the price is $16 each.Find the demand equation assuming that it is linear.

For the parabola y = f(x)= - 2x - 8,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

For the parabola y = f(x)= - + 7x - 6,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

Determine a linear function f(x),given f(2)= 0.5; f(1)= -1.

Suppose that f(x)is a linear function with slope = -3 and y-intercept ,then find the function f(x).

A printer charges a fixed setup cost plus a charge for every copy of single page flyers.If x is the number of copies requested,the total cost of a printing job can be described by the function f(x)= 0.02x + 80.Graph the function on your graphing calculator.

Suppose that consumers will demand 100 units of a product when the price is $10 per unit,and 120 units when the price is $8 per unit.Assuming that price p and quantity q are linearly related,find the price at which 90 units are demanded.

The value of an antique figurine is expected to appreciate each year after it is purchased for $550.If x is the number of years that have passed,the current value of the figurine can be estimated by the function Graph the function by finding and plotting two points.

The demand per week for a new automobile is 400 units when the price is $16,700 each,and 500 units when the price is $14,900 each.Find the demand equation for the cars,assuming that it is linear.