A rental car company charges $53.46 per day to rent a car and $0.13 for every mile driven. Mei Mei wants to rent a car, knowing that:
She plans to drive 350 miles.
She has at most $260 to spend.
Which inequality can be used to determine dd, the maximum number of days Mei Mei can afford to rent for while staying within her budget?
Answer
Multiple Choice Answers
260, is less than or equal to, 53, point, 4, 6, plus, 45, point, 5, d260≤53.46+45.5d
53, point, 4, 6, d, plus, 45, point, 5, is less than or equal to, 26053.46d+45.5≤260
260, is greater than or equal to, 53, point, 4, 6, plus, 45, point, 5, d260≥53.46+45.5d
53, point, 4, 6, d, plus, 45, point, 5, is greater than or equal to, 26053.46d+45.5≥260
53.46d + 45.5 ≤ 260
To determine the maximum number of days Mei Mei can afford to rent for while staying within her budget, we need to consider the rental cost per day and the additional cost per mile.
The rental cost per day is $53.46.
The additional cost per mile is $0.13.
Mei Mei plans to drive 350 miles and has at most $260 to spend.
Let's set up the inequality to represent the cost:
Total cost ≤ Budget
Cost per day * Number of days + Cost per mile * Number of miles ≤ Budget
$53.46 * d + $0.13 * 350 ≤ $260
Therefore, the correct inequality is:
53.46d + 0.13 * 350 ≤ 260
To determine the maximum number of days Mei Mei can afford to rent a car while staying within her budget, we need to consider two factors: the daily rental fee and the cost per mile driven.
The daily cost to rent a car is $53.46, and Mei Mei plans to drive 350 miles. The cost per mile driven is $0.13.
Let's break down the problem step by step:
1. First, calculate the total cost for driving 350 miles. We multiply the number of miles driven (350) by the cost per mile ($0.13):
Total cost for driving 350 miles = 350 * $0.13 = $45.50
2. Next, add the daily rental fee to the total cost for driving 350 miles:
Total cost = $53.46 + $45.50 = $98.96
Now, we have the total cost for renting a car for one day and driving 350 miles.
3. Since Mei Mei has at most $260 to spend, we can set up an inequality to represent this:
Total cost ≤ Budget
$98.96 ≤ $260
To find the maximum number of days Mei Mei can afford to rent a car within her budget, we need to isolate the variable for the number of days (d) in the inequality:
$98.96 ≤ $260
Subtract $98.96 from both sides of the inequality:
$260 - $98.96 ≤ d
$161.04 ≤ d
So, the correct inequality is: $161.04 ≤ d.
Therefore, the maximum number of days Mei Mei can afford to rent a car while staying within her budget is d ≥ $161.04.