13. Xavier spent $84 on art supplies. The canvas for each of his paintings is an additional $1. He

plans to sell his paintings for $8.

a. Write an equation that could be used to find the number of paintings (p) he will need to

sell to break even.

Answer: Hello mate!

We know that Xavier spent $84 on art supplies. For each painting, he spends $1 on the canvas and sells each paint for $8.

The proffit equation is:

Q (p) = ($8 - $1) p - $84 = $7p - $84

where p is the number of paintings that he sells.

If we want to obtain the number of paintings that he needs to sell in order to break even, we need to calculate:

Q (p) = 0 = $7p - $84

$7p = $84

p = 84/7 = 12

He needs to sell 12 paints to break even.