Problem Name

Problem Description

Notes

mr_review_51

Solve: After filling a gas tank, the odometer read 19,874.5. After the next filling, it read 20,105.5. It took 16.5 gal. to fill the tank. How many miles per gallon did the driver get?

mr_review_52

Solve: A person weighing 170 lbs. burns 8.6 calories per minute while mowing a lawn. How many calories would be burned in 3 hrs. of mowing?

mr_review_53

Solve: A cellular phone company offers a package called ‘Statewide 200’. The charge is $29.99 per month, and it includes up to 200 min. of statewide calling time. Minutes over 200 are charged at a rate of $0.23 per minute. Determine the total charge for using a cell phone for 216 minutes in one month.

mr_review_54

Multiply:

mr_review_55

Multiply:

mr_review_56

Multiply:

mr_review_57

Use the graphs of and (below) to evaluate each expression. If the result is undefined, explain why.

(a)
(b)
(c)
(d)
(e)
(f)

mr_review_58

A V8 car engine is coupled to a dynamometer and the horsepower is measured at different engine speeds (in thousands of revolutions per minute). The results are show in the table.

a. Use the regression capabilities of a graphing utility to find a cubic model for the data.
b. Use a graphing utility to plot the data and graph the model.
c. Use the model to approximate the horsepower when the engine is running at 4500 revolutions per minute.

mr_review_59

A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 100 meters of fencing, and no fencing is needed along the river (see the figure).
a. Write the area of the pasture as a function of , the length of the side parallel to the river. What is the domain of ?
b. Graph the area function and estimate the dimensions that yield the maximum amount of area for the pasture.
c. Find the dimensions that yield the maximum amount of area for the pasture by completing the square.

mr_review_60

You are in a boat 2 miles from the nearest point on the coast. You are to go to a point located 3 miles down the coast and 1 mile inland (see the figure). You can row the boat at 2 miles per hour and walk at 4 miles per hour. Write the total time of the trip as a function of .