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Question

You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company A charges $40 per day plus $0.20 per mile. Company B charges $30 per day plus $0.25 per mile. For how many miles will the cost of renting be the same? 

Answer 1

You need to find when the costs will be the same. Company A costs 40+0.20x, where x is the number of miles.

Company B costs 30+0.25x. Set these two equal and solve for x:

                                                            40+0.20x=30+0.25x

                                                            40-30=0.25x-0.20x     subtract 0.20x and 30 from both sides to isolate x term

                                                            10=0.05x                    simplify

                                                            10/0.05=x                  divide both sides by 0.05 to solve for x

                                                              x=200 miles             answer

                                                                

Answer 2

HI, Jennifer.

 

Company A = 40 + .20x   (where x is the number of miles driven)

Company B = 30 + .25x

 

Set them equal to each other.

 

40 + .2x = 30 + .25x

10 = .05x

x = 200 miles.

The prices of the same will be at exactly 200 miles