How many miles must you drive for one-day rental at the second company to be less than the same rental at the first company? Write an inequality to solve.

Question

one car rental company charges $30 per day plus $0.25 per mile driven. A second company charges $40 per day plus $0.10 per mile driven. 

Answer 1

Hello there, Legen

 

Lets see... we have two companies charging two different prices.  So, the first thing we need to do if find the equation of both companies.

 

Company A: 

c= 0.25m+30       m is the number of miles, which costs .25 cents.  Hence, .25m

Company B:

 c= 0.10m+40      it charges 10 cents per mile, which is 0.10 m

 

Now, make the two equations equal to each other.  The answer that we get will be the exact number when you pay the same cost for either company A or B.  In other words, at that number of miles you don't care which company you choose.  However, if you go beyond that number of miles or below that number of miles, it will make a difference.

 

0.25m+30=0.10m+40     Subtract 30 from both sides

          -30              -30

0.25m=     0.10m+10      Subtract 0.10m from both sides

  -0.10m    -0.10m

0.15m= 10                      Divide both sides by 0.15

     m= 66 2/3 

 

 

Up to that point, company A will be the best choice.  After that particular number of miles, company B will be the better choice.

 

Well, glad to help again.. don't forget to rate my answer, please :).

 

D. Y. Taylor