Michael has $1,086.09 in his checking account. He is going to spend $496.17 on a new television, and he will spend the rest on speakers that cost $40.00 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?
Let's call the maximum number of speakers that Michael can buy x.
The cost of the television is $496.17.
The cost of x speakers is $40.00 * x.
The total cost of the television and the speakers is $496.17 + $40.00 * x.
Michael does not want to spend more than $1,086.09, so the inequality would be:
496.17 + 40.00 * x ≤ 1,086.09. Answer: \boxed{496.17 + 40.00x \le 1086.09}.