You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches using the funct

Question

You have a small business making and delivering box lunches. You calculate your average weekly cost y of producing x lunches using the function y = 2.1x + 75. Last week your cost was $600. How many lunches did you make last week?

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Bella 2 weeks 2021-09-08T03:00:15+00:00 1 Answer 0

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    2021-09-08T03:01:54+00:00

    250 lunches are produced by the small business in last week.

    Step-by-step explanation:

    It is given that,

    • y ⇒ the average cost per week.
    • x ⇒ the number of lunches produced per week.

    The function relating these two factors x and y is given as y = 2.1x + 75

    • The cost of the last week is y = $600.
    • The lunches made last week is x = unknown.

    To find the value of x :

    Substitute y= 600 in the given function,

    ⇒ 600 = 2.1x + 75

    ⇒ 2.1x = 600 – 75

    ⇒ x = 525 / 2.1

    x = 250

    Therefore, the lunches prepared last week is 250.

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