Annie needs $30 to buy a coat. she has saved $12 and plans to work as a babysitter to earn $6 per hour. which inequality shows the minimum number of hours, n, that annie should work as a babysitter to earn enough to buy the coat?
12 + 6n ≤ 30, so n ≤ 3
12 + 6n ≥ 30, so n ≥ 3
6n ≥ 30 + 12, so n ≥ 7
6n ≤ 30 + 12, so n ≤ 7

(B)12 + 6n ≥ 30, so n ≥ 3

Step-by-step explanation:

Annie already has $12

Let n be the number of hours she needs to work

If she earns $6 per hour

Her Income in n hours = $6 X n =$6n

Total Amount Annie has = 12 + 6n

Since she needs $30 to buy a coat, her total income must not be less than $30.

Therefore:

is the inequality which shows minimum number of hours, n, that Annie should work as a babysitter to earn enough.

Next, we solve for n.

Divide both sides by 6