Mark is learning to snowboard. The club charges $10 per hour for snowboard lessons and $40 for the lift ticket and a snowboard rental.

Which value represents the rate of change for this scenario?

40 + 10h

i need help for the answer

40+10H

The rate of change in this scenario represents how the cost is changing with respect to time or hours of snowboarding lessons. To calculate the rate of change, we need to determine the change in cost (in dollars) divided by the change in time (in hours).

Let's assume Mark takes x hours of snowboard lessons. The cost of the snowboard lessons would be 10x dollars since the club charges $10 per hour.

The cost of the lift ticket and snowboard rental is a fixed cost of $40.

So, the total cost, C, which includes both the lessons and the lift ticket and snowboard rental, can be expressed as:

C = 10x + 40

To find the rate of change, we need to consider the change in cost and the change in time. If Mark increases the number of hours by 1 (x + 1), the cost will also change by an amount equal to the hourly rate ($10).

The change in cost is (10(x + 1) + 40) - (10x + 40), which simplifies to 10x + 10 + 40 - 10x - 40, resulting in a change of $10.

The change in time is 1 hour.

So, the rate of change in this scenario is $10 per hour, as the cost increases by $10 for each additional hour of snowboard lessons.