Question

The cost of renting a canoe to use on the Humuya River is $31. The cost of renting a canoe to use on the Comayagua River is $5 per hour plus an $11 deposit. The total cost, y, of renting a canoe on any of the rivers for x hours can be represented by an equation

Answer 1

see the attachment

7 hours

Explanation:

The cost for River Y is a constant (not dependent upon hours), so is c = 41.

The cost for River Z is the sum of the deposit and the hourly cost, so is ...

c = 13+4n

These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.