The cost to rent the canoe for 7 hours is $ 104
Solution:
At eagle bay it cost $12 per hour to rent a Canoe
Nate and his friends rented a canoe for 4 hours and paid $68
Let "x" be the number of hours rented
We can solve use the point slope equation
[tex]y-y_1 = m(x-x_1)[/tex]
Where, "m" is the rate of change
[tex](x_1, y_1)[/tex] is the sample point
From given,
m = 12
[tex](x_1, y_1) = (4, 68)[/tex]
Therefore,
[tex]y - 68 = 12(x-4)[/tex]
[tex]y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20[/tex]
Thus the linear equation is found
Here, "y" represents the amount paid for "x" hours
Find the cost to rent the canoe for 7 hours
Substitute x = 7 in linear equation
y = 12(7) + 20
y = 84 + 20
y = 104
Thus cost to rent the canoe for 7 hours is $ 104
