SOLUTION: A car rental company offers two plans for renting a car. Plan A: 30 dollars per day and 20 cents per mile Plan B: 50 dollars per day with free unlimited mileage For what range o

Algebra ->  Graphs -> SOLUTION: A car rental company offers two plans for renting a car. Plan A: 30 dollars per day and 20 cents per mile Plan B: 50 dollars per day with free unlimited mileage For what range o      Log On


   

Question 1156456: A car rental company offers two plans for renting a car.
Plan A: 30 dollars per day and 20 cents per mile
Plan B: 50 dollars per day with free unlimited mileage
For what range of miles will plan B save you money?
Your answer is that the mileage must be greater than?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the cost of B minus the cost of A
For any given number of days, B will cost $20
more than A.
Let +n+ = number of miles driven
+C+=+20+-+%28+20%2F100+%29%2An+
I want the range of +n+ for which +C+
is negative
+20+-+%28+20%2F100+%29%2An+%3C+0+
+.2n+%3E+20+
+n+%3E+100+
You save money for any miles greater than 100 miles
--------------------------
Check:
I'll choose +n+=+101+ mi
Plan A:
+C+=+30+%2B+.2%2A101+
+C+=+30+%2B+20.2+
+C+=+50.2+
Plan B:
+C+=+50++
Plan B saves money
OK