The function t (x) = 2x + 4 determines how many cans of tomato sauce 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 tomato sauce. The function c (x) = 3x + 1. Solve for how much money must be spent when the crew is going to work 2 shifts.

Question

Quentin Duffy

Mathematics

22 September, 23:34

The function t (x) = 2x + 4 determines how many cans of tomato sauce 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 tomato sauce. The function c (x) = 3x + 1. Solve for how much money must be spent when the crew is going to work 2 shifts.

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Bumblebee · Answer 1

The answer is $25. Since x equals the amount of shifts, and they tell you there is 2 shifts, you plug in 2 for x. Since it's a composite function you take t (2) (which is 8), and plug it in as x for c (x). After all the math the answer is 25.