A rental car company charges $45.41 per day to rent a car and $0.07 for every mile driven. Connor wants to rent a car, knowing that:
He plans to drive 225 miles.
He has at most $130 to spend.
Which inequality can be used to determine dd, the maximum number of days Connor can afford to rent for while staying within his budget?
The inequality that can be used to determine the maximum number of days Connor can afford to rent for while staying within his budget is:
45.41d + 0.07(225) ≤ 130,
where d is the number of days Connor will rent the car for.
To determine the maximum number of days Connor can afford to rent a car, we can use the inequality:
$45.41d + $0.07m ≤ $130
Where:
d = number of days
m = number of miles driven
Since Connor plans to drive 225 miles, we can substitute m = 225 into the inequality:
$45.41d + $0.07(225) ≤ $130
Simplifying further, we have:
$45.41d + $15.75 ≤ $130
Now, we can subtract $15.75 from both sides:
$45.41d ≤ $130 - $15.75
$45.41d ≤ $114.25
Finally, divide both sides by $45.41 to solve for d:
d ≤ $114.25 / $45.41
d ≤ 2.5186
Therefore, the maximum number of days Connor can afford to rent a car while staying within his budget is 2 days.
To determine the maximum number of days (dd) that Connor can afford to rent a car while staying within his budget, we can set up an inequality based on the given information.
Let's break down the cost of renting a car for dd days:
- The rental fee per day is $45.41.
- The cost per mile driven is $0.07.
The total cost of renting a car for dd days is:
Total Cost = Rental Fee + Cost per Mile * Total Miles Driven
Since the rental fee per day remains constant regardless of the number of days, the total rental fee would be $45.41 multiplied by the number of days (dd), which gives:
Rental Fee = $45.41 * dd
The cost per mile is $0.07, and the total miles driven is 225 miles. Therefore, the total cost for the distance driven would be $0.07 multiplied by the total miles driven, which gives:
Cost per Mile = $0.07 * 225
To stay within his budget, the total cost of rental and miles driven should be at most $130:
Total Cost (Rental Fee + Cost per Mile) ≤ $130
Substituting the values we have derived earlier, we get the inequality:
$45.41 * dd + $0.07 * 225 ≤ $130
Simplifying further, we can write the final inequality as:
45.41dd + 0.07 * 225 ≤ 130
Therefore, the inequality that can be used to determine the maximum number of days (dd) Connor can afford to rent for while staying within his budget is:
45.41dd + 15.75 ≤ 130