12) Rose is applying for her first job. She will be paid by the hour, but she does not know how much. Her
friend, who works at the same place and just started last week, said she makes $50 dollars on an eight-hour
shift. She also mentioned the assistant manager, the highest paid hourly employee, makes $104 on an eight-
hour shift. How much can Rose potentially make per hour? Create and solve an inequality to answer this
question.

Respuesta :

Answer:

$ 6.25 ≤ x ≤ $ 13

Step-by-step explanation:

Let the amount Rose makes per an hour is x. So on an eight-hour shift Rose will make $ 8x.

Her friend joined last week and makes $ 50 on an eight-hour shift. Since she joined last week, she will be among the lowest paid employees in the company.

The assistant manager, who is the highest paid employee in the company makes $104 on an eight-hour shift.

The amount Rose is expected to make in an eight-hour shift is potentially between the above two mentioned limits. So, we can set up the inequality as:

Lowest earning ≤ Earning of Rose ≤ Highest Earning

$ 50 ≤ 8x ≤ $ 104

Dividing both sides by 8, we get:

$ 6.25 ≤ x ≤ $ 13

This means, Rose can potentially make any amount between $ 6.25 and $ 13 per an hour.