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26 February, 01:06

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

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Answers (1)
  1. 26 February, 04:17
    0
    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
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