Question

Michael has $1,086.29 in his checking account. He is going to spend $517.29 on a new television, and he will spend the rest on speakers that cost $44.00 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?

A.
$1,086.29 + $517.29 > $44.00 + x
B.
$517.29 < $44.00x + $1,086.29
C.
$1,086.29 < $44.00x + $1,086.29
D.
$44.00x + $517.29 < $1,086.29

Answer 1

D. $44.00x + $517.29 < $1,086.29

Explanation:

We know he has $1,086.29 in his account.
We know he's going to spend $517.29 on a new TV.
We know he's going to spend the rest on speakers, so we know he's going to buy x amount of speakers.
We know Michael doesn't want to spend more money than he has in his account.
He's going to buy a TV and Speakers but won't spend more than $1,086.29.
So the inequality $44.00x + $517.29 < $1,086.29 would best determine the maximum number of speakers Michael can buy as it is less than $1,086.29.