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
its positive^^^that's wrong
To determine the rate of change in profits as the number of tickets sold increases, we can use the concept of derivatives. The derivative represents the rate of change of a function at a particular point.
In this case, the function we are interested in is the profit as a function of the number of tickets sold. Let's call this function P(x), where x is the number of tickets sold.
Since we are assuming the profit per ticket is constant, we can express P(x) as P(x) = p * x, where p represents the profit per ticket.
Now, to find the rate of change of P(x) with respect to x, we can take the derivative of P(x) with respect to x, denoted as dP/dx.
Taking the derivative of P(x) = p * x, we get:
dP/dx = p
We see that the derivative is a constant value p, which represents the profit per ticket.
Therefore, the rate of change of profits as the number of tickets sold increases is a constant positive value.
Thus, the correct answer is B. IT IS POSITIVE.