Question

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

Answer 1

See explanation

Explanation:

Which situation can be modeled by the inequality
`65-8x\ge 9?`

Suppose you have $65.

Each day you spend $8.

You want to have at least $9 left.

If x is the number of days you are spending money, what is the maximum number of days you can spend money?

Solution:

Let x be the number of days you are spending money, each day you spend $8, so in x days you spend $8x. Initially, you have $65, so after x days, $(65 - 8x). This amount of money must be no less than $9, so

`65-8x\ge 9`