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 ->  Customizable Word Problem Solvers  -> Travel -> 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      Log On

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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) About Me  (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.