The correct option is a.
The best description of the zeros of this function is given by statement A. The zeros at x = 2 and x = 16 represent the ticket prices at which the profit would be 0.
The zeros of a function are the values of the variable for which the function's output is zero. In the context of a graph like the one you've provided, which shows a profit model, the zeros are the points where the graph intersects the horizontal axis (the x-axis).
Based on the graph, here are the evaluations of the statements you've provided:
A. 2 and 16 are the zeros, and indicate the ticket price for which the profit is 0.** This statement appears to be true based on the graph. The graph intersects the x-axis at x = 2 and x = 16, which would be the ticket prices that result in a profit of 0.
B. 9 is the zero, and indicates when profit is at the maximum. This statement is incorrect. The value of 9 does not correspond to a zero of the function, but to the vertex of the parabola, which appears to be the maximum profit point.
C. 0 and 18,000 are the zeros, and indicate the number of tickets sold. This statement is incorrect. The values 0 and 18,000 are on the y-axis, not the x-axis, and they represent profit amounts, not the zeros of the function.
D. -12,000 is the zero, and indicates the cost to put on the concert. This statement is incorrect. The value -12,000 is on the y-axis and represents a loss (negative profit), not a zero of the function.
Therefore, The answer is a.