SOLUTION: Use the five steps for problem solving to answer the following question. Please show all of your work. Company A charges $55 per day plus $0.35 per mile to rent a car. Company B

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Use the five steps for problem solving to answer the following question. Please show all of your work. Company A charges $55 per day plus $0.35 per mile to rent a car. Company B      Log On


   

Question 445935: Use the five steps for problem solving to answer the following question. Please show all of your work.
Company A charges $55 per day plus $0.35 per mile to rent a car. Company B charges $50 per day plus $0.40 per mile. Jack wants to rent a car for three days. How many miles should Jack be traveling so that Company A is less expensive than Company B?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Company A charges $55 per day plus $0.35 per mile to rent a car. 

Company B charges $50 per day plus $0.40 per mile

Jack wants to rent a car for three days. How many miles should Jack

 be traveling so that Company A is less expensive than Company B?

Let x represent that number of miles:

  55*3 + .35x < 50*3 + .40x

    5*3 < .05x

   5*3/.05 < x

    300 < x  Jack should be traveling more than 300mi



CHECKING our Answer*** At 301 mi

A 55*3 + .35*301 = 270.35

B 50*3 + .40*301 = 270.40   A < B