SOLUTION: Hi there are 2 rental car companies, 1) offering a car for $100pw including 100km for free & then 11c per km 2) offering a car for $75pw including 150km for free & then 15c

Algebra ->  College  -> Linear Algebra -> SOLUTION: Hi there are 2 rental car companies, 1) offering a car for $100pw including 100km for free & then 11c per km 2) offering a car for $75pw including 150km for free & then 15c      Log On


   

Question 296611: Hi
there are 2 rental car companies,
1) offering a car for $100pw including 100km for free & then 11c per km
2) offering a car for $75pw including 150km for free & then 15c per km
at what point will the 2 be the same cost?
thank you so much for your help
Sam
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1) offering a car for $100pw including 100km for free & then 11c per km
2) offering a car for $75pw including 150km for free & then 15c per km
c=100+.11*(k-100)
c=75+.15*(k-150)
set them equal and solve for k
k=912.5 km
It will cost 189.375 for each