modeled with the given equation. An artist earns a profit from selling y paintings. His profit, P, in dollars is P=(200y+23.5)-(10.53y) His profit is the difference in amount of money he earns from selling his paintings and the cost of making the paintings. Which expression represents the cost of making y paintings? a)23.25 b) 10.53 y C) 200y+23.5 d) 189.47y+23.5

## Step 1<br />The problem provides us with the equation \(P = (200y + 23.5) - (10.53y)\), which represents the profit the artist makes from selling y paintings. The profit is the difference between the amount of money he earns from selling his paintings and the cost of making the paintings.<br /><br />## Step 2<br />To find the cost of making y paintings, we need to rearrange the equation to solve for the cost. This can be done by moving the term \((10.53y)\) to the other side of the equation.<br /><br />## Step 3<br />After moving the term \((10.53y)\) to the other side, the equation becomes \(P = (200y + 23.5) - 10.53y\).<br /><br />## Step 4<br />The term \((10.53y)\) on the right side of the equation represents the cost of making y paintings. This is because it is the amount of money the artist spends on making the paintings, which is subtracted from the total amount of money he earns from selling the paintings.