Question

Which situation can be modeled by the inequality 65−8x≥9?

A)
You owe your brother $65. You plan to pay him $8 a week until you owe him less than $9.

B)
You have $65 to spend on food while on a trip, but you need to save at least $9 for the train ride home. You plan to spend the rest on food that costs $8 each meal (including tax).

C)You borrowed $65 from your sister. You pay her $9 a week and must pay her back within 8 weeks.

D)You can buy cases of tissue in packages of 8. You have $65 to spend, but want to have at least $9 left.

Answer 1

The answer is B i got it correct

Explanation:

Answer 2

B)

You have $65 to spend on food while on a trip, but you need to save at least $9 for the train ride home. You plan to spend the rest on food that costs $8 each meal (including tax).

Explanation:

Option B is the right answer because it's setting all operations properly, according to the given expression and the statement.

The given inequality, 65 − 8x ≥ 9, shows that the minimum is 9, which matches with the $9 minimum that the person need to save for the train, so the restriction is described properly.

Also, it says that the person have $65 in total, and he will spend $8 per meal, so, we don't know how many meals would be, that's x, and the spend means a subtract operation from the original $65, which is shown in the inequality. So, he will subtract each meal spend without going under $9. Therefore, the second statement fits perfectly with the given inequality.