Using linear systems to solve problems (1)

[bkan21]

Sook-Lee wants to rent a car for a day so she can visit her sister at university. She has called two car rental agencies. Rent-a-Heap charges \$50 per day, plus \$0.12/km. Kurt's Rent-a-Car charges \$40 per day, plus \$0.20/km. At what distance will the cost of renting of a car be the same from companies?

 

[tkhunny]

We are warned that it is a linear system. There should be a lot of y - mx + b going on. Maybe Ax + By = C.

Rules #1 - Name Stuff!

D = Daily Charge
M = Mileage Charge

Now what?

 

[tkhunny]

* y = mx + b