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anonymous

  • one year ago

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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  1. mathstudent55
    • one year ago
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    To find c(t(x)) you need to first write c(x). Then replace x with the function that t(x) is equal to.

  2. anonymous
    • one year ago
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    I see, I see:)

  3. mathstudent55
    • one year ago
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    |dw:1437500147695:dw|

  4. mathstudent55
    • one year ago
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    Now simplify the right side of the last equation above.

  5. mathstudent55
    • one year ago
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    |dw:1437500202836:dw|

  6. mathstudent55
    • one year ago
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    |dw:1437500229205:dw|

  7. mathstudent55
    • one year ago
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    Do you understand how we got to the last equation above?

  8. anonymous
    • one year ago
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    yes:) @mathstudent55

  9. anonymous
    • one year ago
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    the answer would be 25 then I suppose

  10. mathstudent55
    • one year ago
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    Correct. Since we now want c(t(2)), we use our expression for c(t(x)) and we replace x with 2 |dw:1437501317711:dw|

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