Question

Canoe rental service charges a $20 transportation fee of $30 an hour to rent a canoe.

a. Write an equation that represents this scenario
b. What does the slope represent?
c. What does the y-intercept represent?
d. What is the cost of renting the canoe for 6 hours?

Answer 1

The equation representing the total cost to rent a canoe is y = 30x + 20. The slope is $30 per hour and represents the hourly rental rate. The y-intercept is $20, indicating the transportation fee. The cost for 6 hours is $200.

Step-by-step explanation:

For a canoe rental service that charges a $20 transportation fee and $30 an hour to rent a canoe:

1. Equation representing the scenario: Let y represent the total cost and x represent the number of hours the canoe is rented. The equation is y = 30x + 20.
2. Slope: The slope represents the rate of change in the total cost with respect to the number of hours rented, which is $30 per hour.
3. y-intercept: The y-intercept represents the initial cost before any hours are rented, which is the transportation fee of $20.
4. The cost of renting the canoe for 6 hours is calculated as follows: y = 30(6) + 20 = $200.