Question

Find the average rate of change of y=2x+1 over the interval 0≤x≤7.

a) 2
b) 3
c) 4
d) 5

Answer 1

The average rate of change of y=2x+1 over the interval 0≤x≤7 is approximately 2.143.

Step-by-step explanation:

To find the average rate of change of y=2x+1 over the interval 0≤x≤7, we need to find the difference in y-values divided by the difference in x-values for the given interval. In this case, the change in y is 2(7)+1 - 2(0)+1 = 15, and the change in x is 7 - 0 = 7. So the average rate of change is 15/7, which simplifies to approximately 2.143. Therefore, the correct answer is not given in the options provided.