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

Tamara Jefferson

Mathematics

18 September, 05:35

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

+1

Answers (1)

Know the Answer?

Luciana Ruiz · 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