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24 August, 05:29

The total revenue R (in dollars) is directly proportional to the number of units sold x. When 25 units are sold, the total revenue is $300. Write a mathematical model that relates the total revenue R to the number of units sold x.

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  1. 24 August, 08:37
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    Step-by-step explanation:

    The total revenue R (in dollars) is directly proportional to the number of units sold x. This means that

    R is directly proportional to x

    If we introduce a constant of proportionality, k, it becomes

    R = kx

    When 25 units are sold, the total revenue is $300. We will substitute the value of R and x to get a value for k. It becomes

    300 = 25k

    K = 300/25 = 12

    The mathematical model that relates the total revenue R to the number of units sold x will be

    R = 12x
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