Question

Alex has a summer job mowing lawns. Last week, he earned $125.75. He spent $42.50 on some new clothes, and then deposited the rest into his bank account on Friday, bringing the new balance to over $194. Which graph represents the amount of money in Alex’s bank account prior to the deposit he made on Friday?

Answer 1

For this case, the first thing we must do is find the amount of money Alex will deposit in his bank account.

We have then:

`125.75-42.50 = 83.25`

Then we look for the initial amount of money Alex has in his account. We have then:

`x + 83.25> 194\\`

`x> 194-83.25\\`

`x> 110.75`

Then, we must graph this inequality to find the graph that represents the amount of money in Alex’s bank account prior to the deposit he made on Friday.

Answer:

See attached image