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.

Answer 1

c(t(x)) means to plug x + 6 into c(x).

c(t(x)) = 2(x + 6) + 4

c(t(x)) = 2x + 16

Now, let x = 4.

c(t(x)) = 2(4) + 16

c(t(x)) = 24

Answer: $24