Writing Inequalities to Represent a Situation

2.10.6 Writing Inequalities to Represent a Situation

2.10.6 • Writing Inequalities to Represent a Situation

Cool Down

Use the following scenerio for questions 1 – 2.

Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and she can earn up to $175 per week, including $10 to cover transportation per week.
1.

Represent this situation mathematically. If you use variables, specify what each one means.

Compare your answer:

8.25h+10≤1758.25h+10≤175 and h≥5h≥5, where hh represents the number of hours Lin works in a week.

2.

How many hours per week can Lin work? Be prepared to show your reasoning.

Compare your answer: Your answer may vary, but here is an example.

At least 5 hours and at most 20 hours (or 5≤h≤205≤h≤20). For example: The maximum amount she could earn, not including the transportation allowance, is $165. That amount is equal to 20 hours of work, 1658.25=201658.25=20."