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A gas station charges $\$9$ for a drive-through car wash. $\newline$ Write an equation that shows the relationship between the number of cars washed, $x$ , and the total car wash earnings, $y$ . $\newline$ Do not include dollar signs in the equation.

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Write a linear function: word problems

Full solution

Q. A gas station charges

\$9

for a drive-through car wash.

\newline

Write an equation that shows the relationship between the number of cars washed,

x

, and the total car wash earnings,

y

.

\newline

Do not include dollar signs in the equation.

Identify variables and relationship: Identify the variables and their relationship. $\newline$ The total earnings from the car wash $y$ depend on the number of cars washed $x$ . The cost to wash one car is $\$9$ . Therefore, the total earnings are the product of the number of cars washed and the cost per car wash.
Write the equation: Write the equation. $\newline$ Since the cost per car wash is $\$9$ and the number of cars washed is $x$ , the equation representing the total earnings $y$ is: $\newline$ $y = 9 \times x$

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