Question

Students need at least 75 hours of volunteer service to meet their graduation requirements. Sally has already completed 48 hours. Write and solve an inequality to determine how many more hours Sally needs to complete.

Answer 1

x
`\geq` 27

Sally has to complete at least 27 more hours

Explanation:

Let x represent the number of hours she will complete next

Since students need at least 75 hours, use a greater than or equal to sign.

The total number of hours that Sally will complete can be represented by

x + 48, since she has already done 48 hours.

Use the greater than or equal to sign, and put 75 on the other side:

x + 48
`\geq` 75

Next, solve the inequality:

x + 48
`\geq` 75

x
`\geq` 27

So, Sally has to complete at least 27 more hours.

Answer 2

48+x=75

Explanation:

Subtract 48 from both sides. 75-48 is equal to 27. x=27