Question

Annie needs $30 to buy a coat she has saved $12 and plans to work as a baby siter 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 a coat?

a 12 + 6n ≤ 30, so n ≤ 3
b 12 + 6n ≥ 30, so n ≤ 3
c 6n ≥30 + 12, so n ≥ 7
d 6n ≤30 + 12, so n ≤ 7

Answer 1

The answer would be B. 12 + 6n is greater than or equal to 30, so n is less than or equal to 3.

Step-by-step explanation:

I'm bad with explaining things, but I'll try my best to explain why this is the right answer.

12 + 6n ≥ 30, so n ≤ 3

let's start with the 12 at the beginning of the inequality, Annie already has $12, so the 12 in the inequality shows the amount of money she already has being added to the $6 per hour of babysitting she needs to do (n).

Now for the + 6n, the plus is there to show that the $12 Annie already has is being added to the 6n. The 6n then represents the $6 Annie makes each hour and the n represents how many hours she needs to babysit in order to get $30. The 6 is being multiplied by the amount of hours she needs to babysit to show how much money Annie would make. Then you add on the $12 she already has.

Annie then needs at least $30, but if she makes more than $30 then she will simply have more money than needed, therefore you use the greater than or equal to sign to show that she can have more money than just $30 after working.

I hope this helps, and sorry if my explanation is hard to understand lol.