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.

Question

Mathematics

Reid Lawrence

9 December, 15:37

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.

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Answers (1)

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Mariela Cox · 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