22.3k views
1 vote
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.

User Jacobra
by
8.0k points

1 Answer

3 votes

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.

User Nistor Cristian
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories