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The cost of renting a canoe to use on River Y costs ​$41. The cost of renting a canoe to use on River Z costs ​$4 per hour plus a ​$13 deposit. The total​ cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.

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sqdancefan

Answer:

  see the attachment

  7 hours

Step-by-step 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.

Ver imagen sqdancefan

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