Which situation can be modeled by the inequality 65 – 8x ≥ 9?
You owe your brother $65. You plan to pay him $8 a week until you owe him less than $9.
You borrowed $65 from your sister. You pay her $9 a week and must pay her back within 8 weeks.
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).
You can buy cases of tissue in packages of 8. You have $65 to spend, but want to have at least $9 left.
The situation that can be modeled by the inequality ( 65 – 8x geq 9 ) is:
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: In this scenario, ( 65 ) represents the total amount of money, ( 8x ) represents the money spent on meals (where ( x ) is the number of meals), and ( 9 ) is the amount you want to have left over. The inequality shows that the amount left (after spending on meals) must be at least $9.