Question

The amount of money a performer earns is directly proportional to the number of people attending the performance. The performer earns $120 at a performance where 8 people attend.

b
The performer uses 43% of the money earned to pay the costs involved in putting on each performance. The rest of the money earned is the performer's profit. What is the profit the performer makes at a performance where 8 people attend?
(A) $51.60
(B) $57.00
(C) $68.40
(D) $77.00

Answer 1

To calculate the profit, 43% of the earnings ($120 * 0.43 = $51.60) is subtracted from the total earnings ($120) to obtain the profit of $68.40. Correct answer is option c.

Step-by-step explanation:

The student's question pertains to the calculation of profit for a performer based on the earnings from a performance and the percentage of earnings used to cover the costs of the performance. Profit is the amount of money a performer takes home after deducting the costs associated with the performance.

To calculate the profit from the performance where 8 people attend and the performer earns $120, we use the information that 43% of this earning is used to pay for performance costs. Therefore, the performer spends $120 * 0.43 = $51.60 on costs. To find out the profit, we subtract these costs from the total earnings: $120 - $51.60 = $68.40.

The profit made by the performer at a performance where 8 people attend is $68.40, which corresponds to choice (C).