Ace car rental rents a car for $45 and .25 cents per mile. Star rental car rents a car for $35 and .30 cents per mile. How many miles would a driver need to drive before the cost of renting a car at these two places were the same?
To find the number of miles at which the cost of renting a car from Ace car rental and Star rental car are the same, we need to set up an equation based on the given information.
Let's assume that the number of miles driven is represented by x.
For Ace car rental, the cost equation is:
Cost = $45 + $0.25 * x
For Star rental car, the cost equation is:
Cost = $35 + $0.30 * x
To find when the costs are the same, we can set up the equation:
$45 + $0.25 * x = $35 + $0.30 * x
Now, we can solve for x.
First, let's simplify the equation:
$45 - $35 = $0.30 * x - $0.25 * x
$10 = $0.05 * x
Divide both sides of the equation by $0.05:
$10 / $0.05 = x
x = 200
Therefore, a driver would need to drive 200 miles for the cost of renting a car from Ace car rental and Star rental car to be the same.
To find the number of miles at which the cost of renting a car at Ace car rental and Star rental car is the same, we can set up an equation. Let's represent the number of miles as "x."
The cost of renting a car at Ace car rental is $45 + $0.25x.
The cost of renting a car at Star rental car is $35 + $0.30x.
We want to find the value of "x" when the costs are equal, so we set up the equation:
45 + 0.25x = 35 + 0.30x
By subtracting 0.25x and 35 from both sides of the equation, we get:
10 = 0.05x
Next, divide both sides of the equation by 0.05 to isolate "x":
10 / 0.05 = x
Simplifying the expression gives us:
200 = x
So, a driver would need to drive 200 miles before the cost of renting a car at Ace car rental and Star rental car becomes the same.
that would be x miles, where
45.00+0.25x = 35.00+0.30x
Now just solve for x