The function C(x) is a parabola. Since the coefficient of x^2 > 0, it is going to be an upward parabola. It is evident from the chart that as the value of x is increasing, the value of C(x) i.e. y is decreasing. Therefore, the average rate of decrease in cost for the interval x = 40 to x = 50 will be less than the other intervals.
If you find this difficult to interpret, find the difference in the corresponding values of y for the first 2 intervals.
A. From x = 0 to x = 10, the change is 25,000 - 24,919 = 81
B. From x = 10 to x = 20, the change is 24,919 - 24,846 = 73
The trend will follow and option E will have the minimum difference. Hence, the answer is E.
No need to check all 5 answer choices. Use visual inspection.