A band group is having a carwash fundraiser to earn money. The group spent $25 on soap. Each car is charged $7.

Question

Let c represent the number of cars and a represent the amount of money earned.

Write an equation that shows the relationship.

(2 points)
a=
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=

Answer 1

To represent the relationship between the number of cars washed (c) and the total amount of money earned (a), we need to consider both the income from washing cars and the initial cost for soap.

1. Each car washed earns the group $7, so for c cars, the income would be \( 7c \).
2. The group spent $25 on soap, which is a cost that must be deducted from the total earnings.

Thus, the equation representing the relationship is:

\[ a = 7c - 25 \]

Here, \( a \) is the amount of money earned after accounting for the cost of soap, and \( c \) is the number of cars washed.