Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?

Question

X = 5,7,11,14
Y = 20,28,44,56

Answer 1

The rate of change can be calculated by finding the average rate of change between consecutive data points.

Between X=5 and X=7:
Rate of change = (28-20)/(7-5) = 8/2 = 4 items per minute

Between X=7 and X=11:
Rate of change = (44-28)/(11-7) = 16/4 = 4 items per minute

Between X=11 and X=14:
Rate of change = (56-44)/(14-11) = 12/3 = 4 items per minute

Therefore, the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes is constant at 4 items per minute.