Write and solve an equation to find the number of miles you must drive to have the same cost of the car rentals.
$15 plus $0.50 per mile
$25 plus $.25 per mile
well, duh:
15 + .5x = 25 + .25x
Now just solve for x...
Make Sure You know how to do it after looking at he answer. Don't just copy it down. Just Remember: what you do to now side, you MUST do to the other. Also Inver operations are Addition vs. Subtraction and Multiplication vs. Division.
15 + 0.50x = 25 + 0.25x
- 0.25x 25 - 0.25x
__________________________
15 + 0.25x = 25
-15 -15
__________________________
+ 0.25x = 10
------- -----
0.25 0.25
__________________________
x = 40
Now just do your check problem, in which you put in 40 where the x was, and solve the equation to see if you are right.
15 + 0.50(40) = 25 + 0.25(40)
Is this right? You can check it! Solve to equation to find out if I did it right!
To find the number of miles you must drive to have the same cost of the car rentals, we can set up an equation. Let's call the number of miles driven "m".
For the first car rental, the cost is $15 plus $0.50 per mile, so the equation would be:
Cost1 = $15 + $0.50 * m
Similarly, for the second car rental, the cost is $25 plus $0.25 per mile. The equation for this would be:
Cost2 = $25 + $0.25 * m
To find the number of miles when both costs are equal, we can set the two equations equal to each other and solve for "m":
$15 + $0.50 * m = $25 + $0.25 * m
To begin solving, we can start by moving the terms with "m" to one side:
$0.50 * m - $0.25 * m = $25 - $15
Combining like terms:
$0.25 * m = $10
To solve for "m", we can divide both sides of the equation by $0.25:
m = $10 / $0.25
m = 40
Therefore, to have the same cost for both car rentals, you must drive 40 miles.