SOLUTION: Car rental company charges $39.99 per day. The first 50 miles are free, but there there is a charge of $0.28 per mile after 50 miles. I need to write an inequality to determin

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Car rental company charges $39.99 per day. The first 50 miles are free, but there there is a charge of $0.28 per mile after 50 miles. I need to write an inequality to determin      Log On


   

Question 179976: Car rental company charges $39.99 per day. The first 50 miles are free, but there there is a charge of $0.28 per mile after 50 miles.
I need to write an inequality to determine the greatest number of miles that you can drive for $55 or less.
I don't know how to begin to write this inequality. Can you help me?
Thanks
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Car rental company charges $39.99 per day. The first 50 miles are free, but there there is a charge of $0.28 per mile after 50 miles.
I need to write an inequality to determine the greatest number of miles that you can drive for $55 or less.
I don't know how to begin to write this inequality. Can you help me?
:
C(m)=39.99+.28(m-50) where m is the miles and m>50 miles
:
39.99%2B.28%28m-50%29%3C=55
:
39.99%2B.28m-14%3C=55
:
.28m%3C=29.01
:
highlight%28m%3C=103.6%29miles ......so miles have to be less than or equal to 103.6 in order to spend no more than 55 dollars