Math Algebra Word Problem.

Question

Piper is deciding between two truck rental companies. Company A charges an initial fee of $35 for the rental plus $3 per mile driven. Company B charges an initial fee of $80 for the rental plus $2 per mile driven. Let A represent the amount Company A would charge if Piper drives x miles, and let B represent the amount Company B would charge if Piper drives xx miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B. Please explain how to determine the interval of miles driven, x for which Company A is cheaper than Company B because I am confused on how to get the answer for that.

Answer 1

A = 35 +3x

B = 80 + 2x

A<B if 35+3x < 80+2x

3x - 2x < 80-35

x< 45 miles

Company A is cheaper if Piper drives less than 45 miles