The equation that represents the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) can be expressed as follows:
,
where
represents the constant of proportionality.
In this specific scenario, MaryAnne painted 600 square feet of wall space using 1 1/2 gallons of paint. To find the value of
, we can substitute the given values into the equation:
.
To solve for
, we can multiply both sides of the equation by
:
,
.
Therefore, the equation representing the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) is:
.