Question

You are a lifeguard at a local pool and you eam $9.25 per hour. You already earned $20 on Saturday. You want to have at least $100 by the end of the weekend. Write and solve an inequality to represent how many hours you must work on Sunday in order to make your goal (you must work a whole number of hours).

Answer 1

To make at least $100 by the end of the weekend, you need to work at least 9 hours on Sunday.

Step-by-step explanation:

To find the number of hours you must work on Sunday in order to make your goal of at least $100 by the end of the weekend, we can set up an inequality. Let x be the number of hours you need to work on Sunday. The total amount you earn will be the sum of what you earned on Saturday and what you will earn on Sunday. So, the inequality is:

$20 + $9.25x >= $100

Solving this inequality, we subtract $20 from both sides to isolate the variable:

$9.25x >= $80

Then, we divide both sides by $9.25 to find the value of x:

x >= $80/$9.25

x >= 8.65

Since you must work a whole number of hours, you need to work at least 9 hours on Sunday to make your goal of at least $100 by the end of the weekend.