Question

The function t(x) = 4x + 3 determines how many cans of hot sauce a food truck needs to stock on board, 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 hot sauce. The function c(x) = 2x + 5. Solve for how much money must be spent when the crew is going to work 4 shifts.

Answer 1

1) t(x) = 4x + 3

2) c(x) = 2x + 5

3) c [ t(x) ] = 2 (tx) + 5 = 2 [ 4x + 3] + 5 = 8x + 6 + 5 = 8x + 11

4) x = 4 => c(t(4)) = 8(4) + 11 = 32 + 11 = 43

Answer: 43