SOLUTION: car rental company offers two plans for renting a car. Plan A: $42 per day and unlimited mileage Plan B: $26 per day plus $0.20 per mile Use an inequality to find the number

Algebra ->  Expressions-with-variables -> SOLUTION: car rental company offers two plans for renting a car. Plan A: $42 per day and unlimited mileage Plan B: $26 per day plus $0.20 per mile Use an inequality to find the number      Log On


   

Question 1085883: car rental company offers two plans for renting a car.
Plan A: $42 per day and unlimited mileage
Plan B: $26 per day plus $0.20 per mile
Use an inequality to find the number of daily miles for which plan B costs more than plan A
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = number of miles driven per day
y = total cost per day

Plan A: y = 42
Plan B: y = 26 + 0.20x

We want to figure out when plan B costs more, so,

(Cost of Plan A) < (Cost of Plan B)
42 < 26 + 0.20x
42 - 26 < 26 + 0.20x - 26
16 < 0.20x
0.20x > 16
0.20x/0.20 > 16/0.20
x > 80

So if you drive more than 80 miles per day, then plan B will cost more.