Sarah has two part-time jobs and needs to earn at least $300 total per week. Job A pays her $10 an hour and job B pays $7.50 an hour. Write an inequality that represents this scenario. Name and label your variables, such as Job A= x.
Let a and B represent the respective hours worked.
10A + 7.5B > 300
Let's start by naming and labeling our variables:
Let:
x = the number of hours worked at Job A
y = the number of hours worked at Job B
Now we can establish the inequality.
Since Job A pays $10 per hour, the amount earned from Job A can be represented as 10x.
Likewise, since Job B pays $7.50 per hour, the amount earned from Job B can be represented as 7.50y.
To find the total amount earned per week, we need to add the amounts earned from each job: 10x + 7.50y.
According to the scenario, Sarah needs to earn at least $300 per week. Therefore, the inequality representing this scenario is:
10x + 7.50y ≥ 300