# T t is the time in minutes since i entered onto the

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t t is the time in minutes since I entered onto the freeway. I drove at a constant rate of speed until I had to slow for a construction zone, where I came to a complete stop. Then I started again slowly until I cleared the construction zone and was able to resume my previous constant speed. About how long was I stopped for? Correct! About 15 minutes. About 45 minutes.

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About 60 minutes. About 90 minutes. About 30 minutes. The velocity is zero during the time that the graph of D=f(t) D=f(t) is horizontal. This occurs between approximately t=45 t=45 and t=60 t=60, for a total of 15 15 minutes. Question 12 1.66 / 1.66 pts The number of porta-potties, N=f(x) N=f(x) needed for a Penn State football game is a function of the number of people x x (in thousands of people) attending the game. What are the units of f (x) f′(x)? porta potties porta potties Correct! porta-pottiesthousand people porta-pottiesthousand people thousands of people porta potty thousands of people porta potty
thousands of people thousands of people thousands of porta pottiespeople thousands of porta pottiespeople The units of f (x) f′(x) are the units of N=f(x) N=f(x) divided by the units of x x. In this case, porta pottiesthousand people porta pottiesthousand people, or porta potties per thousand people. Question 13 0 / 2 pts The weight w w, in kilograms, of a baby is a function f(t) f(t) of her age, t t in months. If f(5)=8.5 f(5)=8.5 and f (5)=.70 f′(5)=.70, calculate the relative rate of change of f f when t=5 t=5. You Answered 0.45 0.70 Correct Answer 0.082 2.67 12.14

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The relative rate of change of f(t) f(t) is f (t)f(t) f′(t)f(t). Question 14 0 / 1.5 pts The units of dA/dB dA/dB are the units of A A divided by the units of B B. Correct Answer True You Answered False The units of y=f (x) y=f′(x) are the the units of y y divided by the units of x x. Question 15 1.5 / 1.5 pts If the cost C C (in dollars) of extracting T T tons of ore is given by C=f(T) C=f(T) then f (2000) f′(2000) is the approximate cost to extract the 2001st ton. Correct! True False The derivative of the cost function is the marginal cost function, which is the approximate cost of the next item.
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