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a canoe rental service charges a $30 transportation fee and $55 dollars an hour to rent a canoe. what is the cost of renting the canoe for 6 hours?

User Hohenheim
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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.

User ConfusionTowers
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