Answer: C. The bike rental has a rate of change of 8, which is greater than the rate of change of the scooter rental.
Explanation:
Let x represents the total number of hours and y represents the total cost of the vehicle after x hours.
According to the question,
The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.
Thus, The total cost of renting bike after x hours,
y = 15 + 8 x
Similarly, The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.
Thus, The total cost of renting scooter after x hours,
y = 35 + 5 x
Since, the slope-intercept of a line is, y = m x + c
Where m is the rate of change of the equation.
By the comparing the above equations with the slope-intercept of the line,
We get the rate of change of the equation, y = 15 + 8 x is 8
And, the rate of change of the equation, y = 35 + 5 x is 5.
Since, 8 > 5
Thus, The bike rental has a rate of change of 8, which is greater than the rate of change of the scooter rental.