SOLUTION: Car Rental company A charges $29 a week, plus $13 per kilometre driven. Car Rental company B charges $85 a week, plus $6 per kilometre driven. Determine the distance you must d

Algebra.Com
Question 951274: Car Rental company A charges $29 a week, plus $13 per kilometre driven.
Car Rental company B charges $85 a week, plus $6 per kilometre driven.
Determine the distance you must drive for the two rental costs to be the same. Model the problem with an equation.
Please show your work.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
T(a)=cost company A; T(b)=cost company B; k=kilometers driven
T(a)=29$/wk+$13k
T(b)=$85/wk+$6k
Costs will be the same when T(a)=T(b)
$29/wk+$13k=$85/wk+$6k Subtract $6k from each side.
$29/wk+$7k=$85/wk Subtract $29/wk from each side.
$7k=$56/wk Divide each side by $7
k=8/wk ANSWER: Both companies cost the same if you drive 8 km/wk.

RELATED QUESTIONS

1. 1/4 (c+2) = 1/3 (c-1) 2. Hendrik has a choice of 2 companies to rent a car.... (answered by shree840)
A car rental company charges x dollars to rent a car, plus y dollars per kilometre. Find... (answered by richwmiller)
One car rental company charges $30 per day plus $0.25 per mile driven. A second company... (answered by jorel1380)
Carlos wants to rent a car. For the particular car he wants, Gentle Rental charges $185... (answered by ewatrrr)
A car rental charges $225 per week plus $.020 per mile to rent a car. How many miles can (answered by rfer)
A car rental agency charges $150 per week plus $0.20 per mile to rent a car. How many... (answered by rfer)
a car rental agency charges $200 per week plus $0.1 per mile to rent a car. How many... (answered by Cromlix)
A car rental agency charges $175 per week plus $0.20 per mile to rent a car. How many... (answered by ikleyn)
A truck rental agency offers two kinds of plans. Plan A charges $75 per week plus $0.10... (answered by addingup,josgarithmetic)