Answer:
B.IT IS POSITIVE
Explanation:
A manager at a concert venue is looking at the profits earned from the sale of tickets to an event. The manager wants to determine the amount of profits made based on a predicted number of tickets sold for the event.
Assuming the profit per ticket is constant, as the number of tickets sold increases the profit will increase; therefore, what is true of the rate of change?
A.IT IS NEGATIVE
B.IT IS POSITIVE
C.IT IS ZERO
D.THERE IS INSUFFICIENT INFO TO ANSWER
Solution:
The rate of change is the ratio between the change in one variable to the change in another quantity. The rate of change shows how one quantity (the output quantity) changes in relation to another quantity (the input quantity).
The rate of change is positive if as one quantity increases, the second quantity also increases and it is negative if as on quantity increases the second quantity decreases.
Given that rate of change = profit / number of tickets sold. If as the number of tickets sold increases the profit will increase, the rate of change would be positive.