Question

Charles is saving $5 each week. He earns an extra $15 by mowing his neighbor's lawn. Write the inequality to show how to find how many weeks will he need to save in order to save at least $75 .1) 15w + 15 <= $752) $75-15w < = $753) 15w + 5 < = $754) 5w + 15 >= $75 one of these four is the answer I chose my answer I just want a second opinion . it's for study on a test .

Answer 1

`15\text{ + 5w}\ge75`

Firstly, let the number of weeks be w

If she saves $5 in a week

Then in w weeks, the amount saved will be 5 * w = $5w

If we add this to the extra $15, the total becomes 15 + 5w

Now, let us look at her goal

The goal is that the savings must be at least $75

What this mean is that, it must be 75 or more, but it cannot be less

The correct inequaity will be;

`15\text{ + 5w}\ge75`