To find the number of hours you need to rent a canoe for the cost to be the same on both rivers, we can set up and solve an equation. Let's call the number of hours you rent the canoe "n".
For River Y, the cost is a fixed amount of $29, regardless of the number of hours you rent the canoe. So the equation for River Y is simply:
Cost on River Y = $29
For River Z, the cost includes a $14 deposit plus $3 per hour. Therefore, the equation for River Z is:
Cost on River Z = $14 + $3 * n
To find the number of hours when the cost is the same on both rivers, we set the two equations equal to each other:
$29 = $14 + $3 * n
Now, we can solve for "n". Subtract $14 from both sides of the equation:
$29 - $14 = $3 * n
$15 = $3 * n
Divide both sides of the equation by $3:
$15 / $3 = n
n = 5
So, you need to rent the canoe for 5 hours for the cost to be the same on both rivers.
To graph this system, you can plot the cost on the y-axis and the number of hours on the x-axis. The graph will consist of two lines: a horizontal line at y = $29 representing River Y, and a line with a slope of $3 and y-intercept of $14 representing River Z. The point where these two lines intersect is the solution, which in this case is (5, $29).
I hope this helps! Let me know if you have any further questions
