A school is getting repainted. The painters arrive with 73 gallons of paint, and they will use 2 gallons to paint each classroom.

Question

Write an equation that shows how the number of gallons of paint remaining, y, depends on the number of classrooms painted, x.

Answer 1

To find an equation that represents the relationship between the number of gallons of paint remaining (y) and the number of classrooms painted (x), we can start with the total amount of paint available and deduct the amount used for painting.

The painters start with 73 gallons of paint, and they use 2 gallons of paint for each classroom they paint. Therefore, after painting \( x \) classrooms, the total amount of paint used is \( 2x \) gallons.

The remaining paint can be calculated by subtracting the amount of paint used from the total amount:

\[ y = 73 - 2x \]

Thus, the equation that shows how the number of gallons of paint remaining (y) depends on the number of classrooms painted (x) is:

\[ y = 73 - 2x \]