Michael has $1,057.03 in his checking account. He is going to spend $459.28 on a new television, and he will spend the rest on speakers that cost $46.00 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. $459.28 < $46.00x + $1,057.03
B. $1,057.03 < $46.00x + $1,057.03
C. $46.00x + $459.28 < $1,057.03
D. $1,057.03 + $459.28 > $46.00 + x
The total amount of money Michael will spend on the television and speakers is $459.28. We want to determine the maximum number of speakers, x, that he can buy without spending more money than he has in his account, which is $1,057.03.
So, the correct inequality is:
$46.00x + $459.28 ≤ $1,057.03
Therefore, the correct answer is:
C. $46.00x + $459.28 < $1,057.03