A rental car company charges $56.37 per day to rent a car and $0.09 for every mile driven. Hawa wants to rent a car, knowing that:
She plans to drive 500 miles.
She has at most $440 to spend.
Which inequality can be used to determine xx, the maximum number of days Hawa can afford to rent for while staying within her budget?
Multiple Choice Answers
56, point, 3, 7, x, plus, 45, is less than or equal to, 44056.37x+45≤440
440, is greater than or equal to, 56, point, 3, 7, plus, 45, x440≥56.37+45x
440, is less than or equal to, 56, point, 3, 7, plus, 45, x440≤56.37+45x
56, point, 3, 7, x, plus, 45, is greater than or equal to, 44056.37x+45≥440
The correct inequality is: 56.37x + 0.09(500) ≤ 440.
To determine the maximum number of days Hawa can afford to rent for while staying within her budget, we need to consider the rental cost per day and the cost per mile driven.
The rental cost per day is $56.37.
The cost per mile driven is $0.09.
Let's assume xx represents the number of days Hawa plans to rent the car for.
The cost of renting the car for xx days would be 56.37x.
To this, we need to add the cost of the miles driven. Since Hawa plans to drive 500 miles, the cost of driving 500 miles would be 0.09 * 500 = 45.
So, the total cost of renting the car for xx days and driving 500 miles is 56.37x + 45.
Hawa has at most $440 to spend. Therefore, the maximum number of days she can afford while staying within her budget can be determined using the inequality:
56.37x + 45 ≤ 440.
Thus, the correct inequality is:
56.37x + 45 ≤ 440
Let's break it down step-by-step:
1. The rental car company charges $56.37 per day to rent a car.
2. They charge an additional $0.09 for every mile driven.
3. Hawa plans to drive 500 miles.
4. To stay within her budget of $440, we need to determine the maximum number of days she can rent the car for.
To calculate the total cost of renting the car, we need to add the cost of the daily rate and the cost of the mileage.
Let xx be the maximum number of days Hawa can afford to rent the car.
The total cost can be expressed as:
Total cost = (Daily rate * xx) + (Mileage rate * number of miles)
Substituting the given values:
Total cost = (56.37 * xx) + (0.09 * 500)
We want to find the maximum value of xx that will keep the total cost within Hawa's budget of $440, so we can set up the inequality:
(56.37 * xx) + (0.09 * 500) ≤ 440
Simplifying the inequality, we have:
56.37xx + 45 ≤ 440
Therefore, the correct inequality is:
56.37xx + 45 ≤ 440