Question

If Annie needs $30 to buy a coat and has $12 saved, while earning $6 per hour as a babysitter, which of the following inequalities shows the minimum number of hours, n, she should work to afford the coat?

A) 6n + 12 < 30
B) 6n + 12 > 30
C) 6n - 12 ≥ 30
D) 6n ≥ 18

Answer 1

The minimum number of hours Annie should work to afford the coat is represented by the inequality 6n + 12 ≥ 30, which simplifies to n ≥ 3.

Step-by-step explanation:

The inequality that shows the minimum number of hours, n, Annie should work as a babysitter to afford a $30 coat when she already has $12 saved and earns $6 per hour is 6n + 12 ≥ 30.

To find out the number of hours she needs to work, we can rearrange the inequality to solve for n. Subtracting 12 from both sides gives us 6n ≥ 18. Dividing both sides by 6 to isolate n, we get n ≥ 3. Hence, Annie must work at least 3 hours to earn enough money to buy the coat.