Answer:
The equation is, A =30,000 + 1875n.
He sold 9 cars the year he made that amount of money.
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.