using expressions to represent commission\nthe pizza shop sells artwork by local artists. for each piece it…

using expressions to represent commission\nthe pizza shop sells artwork by local artists. for each piece it sells, the shop receives a 15 percent commission. the most expensive piece it ever sold was priced at $225. which expressions represent how much the shop received? check all that apply.\n(225)(1.15)\n(225)(0.15)\n(225)(0.85)\n225 - (225)(0.15)\n225 - (225)(0.85)

using expressions to represent commission\nthe pizza shop sells artwork by local artists. for each piece it sells, the shop receives a 15 percent commission. the most expensive piece it ever sold was priced at $225. which expressions represent how much the shop received? check all that apply.\n(225)(1.15)\n(225)(0.15)\n(225)(0.85)\n225 - (225)(0.15)\n225 - (225)(0.85)

Answer

Explanation:

Step1: Recall commission - calculation formula

The commission amount is calculated as the percentage of commission times the selling - price. The shop has a 15% (or 0.15 in decimal form) commission rate and the selling price of the artwork is $225.

Step2: Calculate the commission amount

The commission amount $C$ is given by the formula $C=(225)\times(0.15)$.

Step3: Analyze other expressions

The amount the shop receives is the commission amount. The expression $(225)\times(1.15)$ represents the selling - price plus 15% more than the selling - price, which is incorrect. The expression $(225)\times(0.85)$ represents 85% of the selling - price, which is the amount the artist would receive if the shop takes 15% commission. The expression $225-[(225)\times(0.15)]$ is the amount the artist receives. The expression $225-[(225)\times(0.85)]$ is the commission amount, because $(225)\times(0.85)$ is the amount the artist receives and subtracting it from the total selling - price gives the shop's commission.

Answer:

B. $(225)(0.15)$, E. $225 - [(225)(0.85)]$