1. A car rental agency charges $200 per week plus $0
A car rental agency charges $200 per week plus $0.15 per mile to rent a car. a. Express the weekly cost to rent the car, f, as a function of the number of miles driven during the week, x. b. How many miles did you drive during the week if the weekly cost to rent the car was $320.

2. The bus fare in a city is $1. 25
The bus fare in a city is $1.25. People who use the bus have the option of purchasing a monthly discount pass for $ With the discount pass, the fare is reduced to $0.50. a. Express the total monthly cost to use the bus without a discount pass, f, as a function of the number of times in a month the bus is used, x. b. Express the total monthly cost to use the bus with a discount pass, g, as a function of the number of times in a month the bus is used, x. c. Determine the number of times in a month the bus must be used so that the monthly cost without the discount pass is the same as the total monthly cost with the discount pass. What will be the monthly cost for each option?

3. You are choosing between two plans at a discount warehouse
You are choosing between two plans at a discount warehouse. Plan A offers an annual membership fee of $300 and you pay 70% of the manufacturer’s recommended list price. Plan B offers an annual membership fee of $40 and you pay 90% of the manufacturer’s recommended list price. a. Express the total yearly amount paid to the warehouse under plan A, f, as a function of the dollars of merchandise purchased during the year, x. b. Express the total yearly amount paid to the warehouse under plan B, g, as a function of the dollars of merchandise purchased during the year, x. c. How many dollars of merchandise would you have to purchase in a year to pay the same amount under both plans? What will be the total yearly amount paid to the warehouse for each plan?

4. A baseball team plays in a large stadium
A baseball team plays in a large stadium. With a ticket price of $15, the average attendance at recent games has been 20,000. A market survey indicates that for each $1 increase in the ticket price, attendance decreases by 400. a. Express the number of spectators at a baseball game, N, as a function of the ticket price, x. b. Express the revenue from a baseball game, R, as a function of the ticket price, x.

5. An open box is made from a square piece of cardboard 30 inches on a side by cutting identical squares from the corners and turning the sides up. a. Express the volume of the box, V, as a function of the length of the side of the square cut from each corner, x. b. Find and interpret V(3), V(4), V(5), V(6), and V(7). What is happening to the volume of the box as the length of the side of the square cut from each corner increases? c. Find the domain of V.

6. A. You have 600 feet of fencing to enclose a rectangular field
A. You have 600 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a function of one of its dimensions, x. B. You still have 600 feet of fencing to enclose a rectangular field. However one side of the field lies along a canal that requires no fencing. Express the area of the field, A, as a function of one of its dimensions, x.

7. A new running track is to be constructed in the shape of a rectangle with semicircles at each end. The track is to be 440 yards long(around). Express the area of the region enclosed by the track, A, as a function of its radius, r. .

8. Imagine an open box with a square base and a partition down the middle
Imagine an open box with a square base and a partition down the middle. The box is to have a volume of 400 cubic inches. Express the amount of material needed to construct the box, A, as a function of the length of a side of the square base, x.

9. You inherit $18, 750 with the stipulation that for the first year the money must be placed in two investments expected to pay 10% and 12% annual interest.
a. Express the expected interest from both investments, I, as a function of the amount of money invested at 10%, x.
b. If the total interest earned for the year was $2117, how much money was invested at each rate?