A theme park manager finds that revenue, R, based on a ticket price, p, can be modeled by the function

R = -2p2 + 100p. Which of the following correctly interprets the average rate of change in revenue if the ticket price increased from $10 to $15?
Revenue would decrease by an average of $50 per $1 increase in the ticket price.
The ticket price would decrease by an average of $50 per $1 increase in the revenue.
Revenue would increase by an average of $50 per $1 increase in the ticket price.
The ticket price would increase by an average of $50 per $1 increase in the revenue.

Revenue would increase by an average of $50 per $1 increase in the ticket price.