Question

ben purchases a gallon of paint and some paintbrushes. each paintbrush costs the same amount. the equation $y = 6x + 30$ models the total cost of bens purchase. what does the value of the function at $x = 0$ represent in the situation? \bigcirc the cost of the paint \bigcirc the cost of the brushes \bigcirc the number of brushes purchased \bigcirc the number of gallons of paint purchased

Explanation:

In the linear equation $y = 6x + 30$, $y$ is total cost, $x$ represents the number of paintbrushes. When $x=0$, this means no paintbrushes are purchased. Calculating $y$ at $x=0$ gives the fixed cost of the purchase, which is the cost of the single gallon of paint.

Answer:

A. the cost of the paint