Algebra 1 problem!?!?!?
A rental car company has two possible rate plans: $40 a day with unlimited mileage or $15 a day with a charge of $0.50 for each mile driven. How many miles would you need to drive on a three-day business trip to make the two rate plans cost the same?
Update:Must be solved using algebra! Please use variables and show work.
Comments
40x = 15x + .5y (x is the number of days and y is the number of miles)
You know x = 3.
40(3) = 15(3) + .5y
120 = 45 + .5y
.5y = 75
y = 150
Your answer is 150 miles.
We know that 3 days will cost $120 using the first rate plan. So the goal is to take the second rate plan and make it equal to $120.
- we know that it will be $15 for each of the 3 days and that the total cost must be $120
15*3 + .5x = 120 where x = the total number of miles
.5x = 120 - 45
.5x = 75
x = 150
120-45=65/.5= 130 miles
40 - 15 =25
25 divided by 0.5= 50 miles
There is your answer.