Answer:
Cost for 6 hour canoe rental = $360.00
Explanation:
We can model the situation using the slope-intercept form of line, whose general equation is given by:
y = mx + b, where
- m is the slope (change in the dependent variable / change in the independent variable),
- and b is the y-intercept.
We see that cost depends on the amount of hours a canoe is rented as cost only increases as hours increase.
Thus, we can use the equation:
C(h) = mh + b, where
- C(h) is the cost in dollars per hours of the canoe rental,
- m is the marginal cost (i.e., the increase in cost per hours passed,
- and b is the initial cost (i.e., the cost even when 0 hours have passed)
Since the transportation fee is $30, it's our b value as the customer pays $30 even when 0 hours have passed.
Since the customer pays $55 an hour, it's our marginal cost.
Thus, our equation (with 55 substituted for m and 30 substituted for b) is:
C(h) = 55h + 30
Now we can plug in 6 for h to find the cost of renting the canoe for 6 hours:
C(6) = 55(6) + 30
C(6) = 330 + 30
C(6) = 360
Thus, the cost of renting the canoe for 6 hours is $360.