A rental car company charges $52 per day to rent a car and $0.12 for every mile driven. Dianelys wants to recant a car, knowing that:

She plans to drive 300 miles
She has at most $140 to spend
Write and solve an inequality which can determine x, as the number of days Dianelys can afford to rent while staying within her budget.

1 answer

Let's assume that Dianelys is going to rent the car for x number of days.
The rental car company charges $52 per day. So, for x days, the cost of renting the car will be 52x dollars.
In addition, Dianelys will have to pay $0.12 for every mile driven. Since she plans to drive 300 miles, the additional cost for the mileage will be 0.12 * 300 = 36 dollars.
Therefore, the total cost of renting the car will be 52x + 36 dollars.
Dianelys has at most $140 to spend, so we can write the inequality:
52x + 36 ≤ 140
Now, solve for x:
52x ≤ 140 - 36
52x ≤ 104
x ≤ 104/52
x ≤ 2
So, the number of days Dianelys can afford to rent while staying within her budget is at most 2 days.