## Functions and Change A Modeling

Business

## Quiz 28 :

Rates of Change for Other Functions

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Q26 Q26 Q26

The CEO of a tire company has kept records for the profit P when n tires are produced.The rate of change is the marginal profit.The graph of marginal profit is shown.According to the graph, how many tires per day should the company be producing in order to maximize profit?

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Multiple Choice

Q27 Q27 Q27

The CEO of a tire company has kept records for the profit P when n tires are produced.The rate of change is the marginal profit.The graph of marginal profit is shown.If the current rate of production is 180 tires, what effect on profit will an increase in production have?

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Multiple Choice

Q28 Q28 Q28

You are considering buying three stocks, Stock 1, Stock 2, and Stock 3, and their prices at time t are given by , , and , respectively.You observe that is positive, is near 0, and is negative.Which stock is likely to provide the best growth in the short term?

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Multiple Choice

Q36 Q36 Q36

You are driving with your cruise control set when you encounter a slowly moving truck.You speed up to pass the truck.When you have overtaken the truck, you slow down and resume your previous speed.If represents your velocity at time t, make a graph of .Be sure to label your graph appropriately.

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Q37 Q37 Q37

You are driving with your cruise control set when you encounter a slowly moving truck.You speed up to pass the truck.When you have overtaken the truck, you slow down and resume your previous speed.The graph of velocity, , is shown.Make a graph of , the acceleration.Be sure to label your graph appropriately.

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Q38 Q38 Q38

A balloon is initially full of air, but then it springs a leak.Air leaks at a constant rate from the balloon.After a while the leak is patched and a pump is attached to the balloon.It is re-inflated to its original volume: Air is pumped at a constant rate that is larger than the rate of the leak.Let B denote the volume, in cubic inches, of air in the balloon after t minutes.Make a graph of B versus t from the time the balloon springs a leak until it is fully re-inflated.

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Q39 Q39 Q39

A balloon is initially full of air, but then it springs a leak.Air leaks at a constant rate from the balloon.After a while the leak is patched and a pump is attached to the balloon.It is re-inflated to its original volume: Air is pumped at a constant rate that is larger than the rate of the leak.Let B denote the volume, in cubic inches, of air in the balloon after t minutes.The graph of B versus t from the time the balloon springs a leak until it is fully re-inflated is shown.Make the graph of .

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