A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the

Question

A company finds it can produce 5 heaters for $2000, while producing 15 heaters costs $4600. Express the cost, y, as a linear function of the number of heaters, X. Determine the cost to produce 20 heaters. Express the cost, y, as a linear function of the number of heaters, X. ou y = (Simplify your answer.) The cost to produce 20 heaters is $​

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Thu Thảo 3 years 2021-09-02T18:56:29+00:00 1 Answers 7 views 0

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  1. Tryphena
    0
    2021-09-02T18:58:22+00:00
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    Answer:

    • y = 260x + 700
    • $5900

    Step-by-step explanation:

    We can describe it as a linear function with points of:

    • (5, 2000) and (15, 4600)

    Slope intercept formula:

    • y = mx +b

    Finding the slope using the two given points:

    • m = (4600-2000)/(15-5) = 2600/10 = 260

    Finding b:

    • 2000 = 5*260 + b
    • b = 2000 – 1300 = 700

    Formula obtained:

    • y = 260x + 700

    For x = 20, value of y is:

    • y = 260*20 + 700 = 5200+700 = $5900

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