Michael has $1,038.07 in his checking account. He is going to spend $547.07 on a new television, and he will spend the rest on speakers that cost $50.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?

1 answer

The inequality that represents the maximum number of speakers Michael can buy without spending more money than he has in his account is:

$1,038.07 - $547.07 - $50x ≥ 0

This simplifies to:

$491 - $50x ≥ 0

Therefore, the inequality is:

$50x ≤ $491

x ≤ 491/50

x ≤ 9.82

Since Michael cannot buy a fraction of a speaker, he can buy a maximum of 9 speakers without spending more money than he has in his account.