Question

The function t(x) = x + 6 determines how many cans of soup a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on soup. The function c(x) = 2x + 4. Solve for how much money must be spent when the crew is going to work 4 shifts.

a. 24
b. 28
c. 30
d. 34

Answer 1

a. 24

Answer 2

how'd you get that?

Answer 3

you need function composition... substitute t(x) in x of c(x)
c(t(x)) = 2(x+6)+4 = 2x+16
then you know that x=4

Answer 4

did you understand?