A rental car company charges $36.39 per day to rent a car and $0.09 for every mile driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
He has at most $480 to spend.
What inequality can be used to determine xx, the maximum number of days Miguel can afford to rent for while staying within his budget?
To determine the maximum number of days Miguel can afford to rent for while staying within his budget, let's assume that he rents the car for x days. We know that the cost of renting the car for x days is given by 36.39x, and the cost of driving 225 miles is $0.09 per mile, so it is 0.09 * 225 = 20.25.
In total, Miguel's spending on the rental car will be 36.39x + 20.25. To stay within his budget of $480, we set up the inequality:
36.39x + 20.25 ≤ 480
Thus, the inequality is 36.39x + 20.25 ≤ 480.
Wrong
I apologize for the mistake. Let's correct it.
The cost of renting the car for x days is given by 36.39x. Additionally, Miguel plans to drive 225 miles, which will cost an additional $0.09 per mile, so the cost of driving 225 miles is 0.09 * 225 = $20.25.
To stay within his budget of $480, Miguel's spending on the rental car, including the mileage charge, must be less than or equal to $480. Therefore, the inequality is:
36.39x + 20.25 ≤ 480