Question 1

The number of miles that light travels in one year is called a light-year, which is equal to   The nearest start (other than the sun) to the earth is Proxima Centauri, at  4.2  light-years away. How far is that in miles?

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Question 2

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...

Question 3

Write the number in scientific notation.
A red blood cell is about  0.000007  meters in diameter.
A) 
B) 
C) 
D)

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A red...

Question 4

According to the National Association of Realtors, the mean sale price for existing homes in the United States in 2011 was $214,300. Assume that sale prices are normally distributed with a standard deviation of $41,000.  
Find the percentage of existing homes in 2011 that:
b. sold for between $132,300 and $296,300
c. sold for more than $255,300

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Question 5

The graph shown below represents a company's profit (y-axis)in dollars based on the number of items (x-axis)produced by the company.  
a. What is the y-intercept of this graph? What does it represent?
b. What are the x-intercepts of this graph? What do they represent?
c. What is the maximum amount of profit this company can earn?
d. How many items must the company produce in order to reach the maximum profit?

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The answer of The graph shown below represents a company's...

Question 6

a. When does the ball hit the ground? Round to the nearest tenth of a second.
b. What is the highest height the ball reaches, and when?

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Question 7

Heartbreak Hill is a hill on the Boston Marathon course that comes shortly after the 20-mile mark in the race. Over a horizontal distance of 2744 ft, the elevation changes from 146 ft to 237 ft.  a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.
b. How far will a runner actually run up this hill? Round to the nearest tenth of a foot.

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Question 8

In 2000, the population of Sheboygan, WI was about 113,000 and was growing at a rate of 0.85% per year. Find an exponential function that describes the population P in terms of t, the number of years after 2000.

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Question 9

Factor completely.

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Question 10

If a person takes a 40 mg dose of OxyContin, the amount in the body will decrease by about 15% per hour.
a. Write an equation that describes the amount of OxyContin in this person's body after x hours.
b. How much OxyContin is in this person's body after 24 hours? Is it all gone?

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Question 11

Simplify. Write your answer in exponent form.

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Question 12

a. Determine the y-intercept of this graph and explain what it means.
b. Determine the x-intercepts of this graph and explain what they mean.
he

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Question 13

Subtract the polynomials.

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Question 14

The average number of words that can be printed on a standard size piece of paper varies inversely with the font size.
a. If 320 words can be printed with a 10-pt size in a particular font, write an equation that relates the average number of words that can be printed to the font size.
b. How many words can be printed with a 12-pt size in this font?
c. If your teacher tells you to use a 12-pt font, and you decide to try to use a 13-pt font instead, what would you expect to happen in terms of the number of words on the page? (And trust me, your teacher WILL notice that you used that larger font and wider margins. You don't want them in a bad mood when they grade your paper!)

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Question 15

The following table shows the U.S. population for the years 1920-2000.  
a. Determine whether the equation of best fit for this data will be quadratic or exponential, and find the equation of the best fit. Round coefficients to 4 decimal places.
b. What is the y-intercept and what does it represent?
c. Would an x-intercept make sense in this case? If so, find it. If not, explain why not.
d. At approximately what rate is the U.S. population growing?
e. Use the equation to estimate the U.S. population in 2013. Round to the nearest tenth of a million.
f. Using the equation, when will the U.S. population break 400 million?

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Question 16

Of all the topics we have covered in unit 4, what has stood out to you as something most relevant to your life? Explain why.

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Quiz 4: Living in a Nonlinear World

The number of miles that light travels in one year is called a light-year, which is equal to The nearest start (other than the sun) to the earth is Proxima Centauri, at 4.2 light-years away. How far is that in miles?

Write the number in scientific notation. A red blood cell is about 0.000007 meters in diameter.

a. When does the ball hit the ground? Round to the nearest tenth of a second. b. What is the highest height the ball reaches, and when?

In 2000, the population of Sheboygan, WI was about 113,000 and was growing at a rate of 0.85% per year. Find an exponential function that describes the population P in terms of t, the number of years after 2000.

Factor completely.

If a person takes a 40 mg dose of OxyContin, the amount in the body will decrease by about 15% per hour. a. Write an equation that describes the amount of OxyContin in this person's body after x hours. b. How much OxyContin is in this person's body after 24 hours? Is it all gone?

Simplify. Write your answer in exponent form.

a. Determine the y-intercept of this graph and explain what it means. b. Determine the x-intercepts of this graph and explain what they mean. he

Subtract the polynomials.

Of all the topics we have covered in unit 4, what has stood out to you as something most relevant to your life? Explain why.