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5. MaryAnne painted 600 square feet of wall space using 1 1/2gallons of paint. The number of

square feet she can paint, y, is proportional to the number of gallons used, x.
k=
Equation:

User Anik
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1 Answer

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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:


\displaystyle\sf y = kx,

where
\displaystyle\sf k 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
\displaystyle\sf k, we can substitute the given values into the equation:


\displaystyle\sf 600 = k \cdot \left( (3)/(2) \right).

To solve for
\displaystyle\sf k, we can multiply both sides of the equation by
\displaystyle\sf (2)/(3):


\displaystyle\sf (2)/(3) \cdot 600 = k,


\displaystyle\sf k = 400.

Therefore, the equation representing the relationship between the number of square feet painted (y) and the number of gallons of paint used (x) is:


\displaystyle\sf y = 400x.

User Matt McMinn
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