7. 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.

A. 7

B. 8

C. 18

D. 25

Question

Mathematics

Chad Warner

8 September, 01:49

7. 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.

A. 7

B. 8

C. 18

D. 25

+2

Answers (1)

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Rover · Answer 1

T (x) = 2 x + 4

c (x) = 3 x + 1

c (t (x)) = c (2 x + 4) = 3 (2 x + 4) + 1 = 6 x + 12 + 1 = 6 x + 13

When x = 2:

c (2) = 6 * 2 + 13 = 12 + 13 = 25

Answer: D) 25