Question

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. Write and solve a linear equation to find the cost to rent the canoe for 7 hours

Answer 1

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

$y-y_1 = m(x-x_1)$

Where, "m" is the rate of change

$(x_1, y_1)$ is the sample point

From given,

m = 12

$(x_1, y_1) = (4, 68)$

Therefore,

$y - 68 = 12(x-4)$

$y - 68 = 12x -48\\\\y = 12x -48+68\\\\y = 12x + 20$

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