The cost to attend drama camp is more than $760.00. Sebastian has already earned $160.00 towards his fees, and plans to cut grass for $75.00 per yard this summer. Which inequality can be used to find x, the number of yards he will need to cut this summer to have more than $760.00 for camp?

Answer 1

To find the number of yards \( x \) that Sebastian needs to cut to have more than $760.00 for camp, we can set up an inequality.

1. The total amount of money he needs for camp is more than $760.00.
2. He has already earned $160.00.
3. He will earn $75.00 for each yard he cuts, so cutting \( x \) yards will earn him \( 75x \).

The total amount of money he will have after cutting \( x \) yards is:

\[ 160 + 75x \]

We want this total to be more than $760.00, so we set up the inequality:

\[ 160 + 75x > 760 \]

This is the inequality that can be used to find the number of yards \( x \) that Sebastian needs to cut this summer.