1. Frankie drives 80 miles in 3 hours and another 75 miles in 5 hours. What is the value of his average rate?

2. The Eagleneck gym has 6 bikes that 9 athletes want to use. At 5pm they randomly select one athlete per bike. If Alan, Bob, Caryn, Darrel, Edgar, and Frank are 6 of the athletes, find the probability that they are all selected.

3. Find the surface area of a sphere with the volume of 972.

4. The final price of a computer is C dollars. This is after a 15% off coupon, 8% sales tax and 4% employee discount. Find an expression for I, the initial price, in terms of the final price.

5. The final price of a TV is $490 after a 9% tax and 18.25% discount. Find the original price.

6. A factory in Hackensack manufactures T-shirts. The factory has monthly operating costs of $14,000 per month regardless of how many shirts are produced. Additionally, the factory must spend $7.45 for each shirt produced. In July, the total factory costs were $19,000.

Approximately how many shirts were produced?

Find an expression for C(n) where cost is a function of the number of shirts produced (n).

The factory charges $22.90 per shirt. Find a function for revenue in terms of n (number of shirts produced).

Find the number of shirts at which the company makes zero profit.

7. Tam’s Club sells 6c cartons of calculators per box and 12m boxes per day. How many boxes are sold in a year?

8. Tabitha waters 7 plants per day. If there are 8m plants per garden and 2x gardens per neighborhood, how long would it take her to water 12 neighborhoods?

9. Line s is parallel to a line with a y-intercept of 6 and x-intercept of -5. If line s passes through (7, 15) find the y-intercept of line s.