Question

Tyler needs at least $205 for a new video game system. He as already saved $30. He earns $7 an hour at his job. Write and solve an inequality to find how many hours he will need to work to buy he system. Interpret the solution.

Answer 1

Explanation:

Let x represent the number of hours that Tyler works at his job.

He has already saved $30. He earns $7 an hour at his job. It means that if he works for x hours, the total amount that he would save is expressed as

7x + 30

Tyler needs at least $205 for a new video game system. Therefore, an inequality to find how many hours he will need to work to buy the system is

7x + 30 ≥ 205

7x ≥ 205 - 30

7x ≥ 175

x ≥ 175/7

x ≥ 25

He needs to work for at least, 25 hours to get enough money to buy the system.