Question

Suppose Abdulaziz works as a businessman earning $10 an hour and as a theater entrepreneur earning $9 an hour. Let B represent the number of hours he works as an entrepreneur this month, and M represent the number of hours he works as a mentor. What variable expression describes Abdulaziz's goal this month to earn more than $1,000 in total?

A) 10B + 9M > 1000
B) 10B + 9M < 1000
C) 10B - 9M > 1000
D) 10B - 9M < 1000

Answer 1

The correct variable expression for Abdulaziz's goal to earn more than $1,000 is 10M + 9B > 1000, where M is the number of hours worked as a businessman and B is the number of hours as an entrepreneur.

Step-by-step explanation:

The question asks for a variable expression that describes Abdulaziz's goal to earn more than $1,000 this month from his work as both a businessman and a theater entrepreneur. Abdulaziz earns $10 an hour as a businessman and $9 an hour as an entrepreneur.

Let B represent the number of hours he works as an entrepreneur (theater), and M represent the number of hours he works as a businessman (mentor).

The total earnings can be calculated by multiplying the number of hours worked in each job by the corresponding hourly wage and then adding those two products together.

Since Abdulaziz wants to earn more than $1,000 in total, the correct expression would therefore be: 10M (his earnings per hour as a businessman) plus 9B (his earnings per hour as an entrepreneur) must be greater than 1,000.

Hence, the correct variable expression is 10M + 9B > 1000.