1. Imagine you’ve decided to invest in a mutual fund. Pick one of the three starting amounts and one of the three rates
of annual return (choose any pair – they don’t have to be vertical to each other). Circle your choices. (3 points each)
Starting amount $400 $600 $900
Rate of annual return 5% 7% 9%
1 b) If you don’t make any other deposits or withdrawals, how much money will be in your account in 30 years? (You
may use a calculator, but you should still show your steps. Round correctly to the nearest cent. )
2. Harper and Khalid start new food truck businesses in the same week. The graph shows the function ℎ(), which gives
Harper’s weekly profits for the first eight weeks. The table shows Khalid’s weekly profits for the first eight weeks.
2 a) Write the function that can be used to calculate Khalid’s weekly profits, (), based on the number of weeks.
(4 points. Show your work. )
2 b) Graph the curve () that represents Khalid’s profits on the same graph as ℎ() above. (3 points)
2 c) What is the solution to this system of equations? (What is the solution to the equation ℎ() = ()?) What does
that solution represent about this real-world situation? (3 points)
2 d) What is the average rate of change of () from week 3 to week 6? What does the average rate of change
represent about this real-world situation? (4 points)
Weeks, Khalid’s profit, ()
0 $200
1 $260
2 $338
3 $439. 40
4 $571. 22
5 $742. 59
6 $965. 36
7 $1254. 97
8 $1631. 4
