Question

1. krystine has a weekend job advertising an upcoming play. she has two options for being paid. option a is an hourly wage of $7.00. option b is a 5% commission on tickets sales. she plans to work 8 hours on both saturday and sunday. tickets are sold for $10 each, and krystine estimates she will sell about 200 tickets. which option gives krystine more earnings this weekend? ⓐ both options give krystine the same amount of earnings. ⓑ option a gives krystine more earnings this weekend. ⓒ option b gives krystine more earnings this weekend.

Explanation:

Step1: Calculate earnings for Option A

Krystine works 8 hours on Saturday and 8 hours on Sunday, so total hours = \(8 + 8 = 16\) hours. Hourly wage is $7.00, so earnings for Option A = \(16\times7 = 112\) dollars.

Step2: Calculate earnings for Option B

Total tickets sold = 200, each ticket is $10, so total sales = \(200\times10 = 2000\) dollars. Commission is 5%, so earnings for Option B = \(0.05\times2000 = 100\) dollars.

Step3: Compare earnings

Option A earnings: $112, Option B earnings: $100. Since \(112>100\), Option A gives more earnings.

Answer:

B. Option A gives Krystine more earnings this weekend.