Question

Betty had $18 in her savings account. She started babysitting each week, and adds $42 of this money per week to her savings account. Which inequality can be used to find w, the number of weeks after starting her babysitting job that Betty will have more than $600 in her savings account?

Option F: 42W + 18 > 600
Option G: 42W + 18 < 600
Option H: 18W + 42 > 600
Option J: 18W + 42 < 600

Answer 1

The inequality that can be used to find the number of weeks w after which Betty will have more than $600 in her savings account is 42w + 18 > 600.

Step-by-step explanation:

To determine the number of weeks w for which Betty will have more than $600 in her savings account after starting to add her babysitting money, we need to find a suitable inequality.

Betty starts with $18 in her account and adds $42 each week for babysitting. We want to know after how many weeks her savings will exceed $600. We can express this using an inequality where 42w represents the total amount of money earned from babysitting after w weeks, and 18 is her initial savings.

The correct inequality to represent this situation is:

42w + 18 > 600

We are looking for the value of w (the number of weeks) that makes this inequality true, which indicates the point at which Betty's savings account will contain more than $600.