Final answer:
The question pertains to calculating if an artist will make a profit based on a given equation. By isolating 'm' in the equation 180 = 135 + 4.5m, we find that the artist needs to sell at least 10 items to break even. The artist will make a profit if more than 10 items are sold.
Step-by-step explanation:
The profitability can be assessed by solving the provided equation which contains the comparison of two expressions involving the artist's earnings and expenses. The equation appears to be 180 = 135 + 4.5m, where 'm' likely represents the number of items sold and the constants represent fixed costs and price per item, respectively.
To solve for 'm', we would typically isolate 'm' on one side of the equation. The process would involve subtracting the fixed cost from both sides of the equation and then dividing by the price per item:
180 - 135 = 4.5m
45 = 4.5m
m = 45 / 4.5
m = 10
The artist breaks even if they sell 10 items. Selling more than 10 would result in a profit, and selling less would mean a loss.