Question

Question 2

Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an'hour babysitting. What is the solution of the
inequality that determines how many hours she will need to babysit to buy the dress?
Let x represent the number of hours Matilda babysits.

Answer 1

Answer: x ≥ 8

Explanation:

We know that our inequality must be greater than or equal to $112 because she needs at least $112 to buy the new dress. This is the first part of our inequality.

Next, we see that she already has $40 and will earn $9 an hour babysitting, if x is the number of hours. $9 an hour can become 9x, then we will add the $40 she already has for 9x + 40 as the second part of our inequality.

This complete inequality is:

9x + 40 ≥ 112

Now, we can solve by isolating the variable x with inverse operations.

9x + 40 ≥ 112

9x ≥ 72

x ≥ 8

Matilda needs to babysit at least 8 hours to afford the new dress.