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2 October, 05:56

Eduardo earns a base salary of $30,000 per year and earns $1,875 per car he sells. Which equation can be used to find the number of cars, c, that Eduardo sold in a year he made 46,875?

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  1. 2 October, 06:02
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    The equation is, A = 30,000 + 1875n.

    He sold 9 cars the year he made that amount of money.

    Step-by-step explanation:

    Before calculating, let's assign letters to certain variables:-

    ✓ let "A" be used to represent the total amount earned after adding his base salary to the amount he earned as commission per car he sells.

    ✓ "P" will be used to represent his base salary (a constant = 30,000)

    ✓ "n" will represent the number of cars sold within a given year.

    ✓ "B" will be used to represent his commission per car he sells.

    Fixing them into a formula, we have:

    A = P + n (B)

    Since "P" and "B" are constants of 30000 and 1875 respectively, we substitute the letters for their actual amount in the formula:-

    A = 30,000 + n (1875)

    A = 30,000 + 1875n + This is now the equation that can be used to calculate the number of cars he sold in the year he earned 46,875).

    So, since "A" is now $46,875, we substitute accordingly to find the number of cars he sold in the year he earned such amount.

    46,875 = 30,000 + 1875b

    1875n = 46,875 - 30,000

    1875n = 16875

    n = 16875/1875

    n = 9 cars

    Therefore the equation to be used to determine how many cars he sold when he earned $46,875 is:

    A = 30,000 + 1875n

    He sold 9 cars the year he earned $46,875.
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