# The average rate of change of g(x) between x = 4 and x = 7 is 5/6. Which statement must be true

a) g(7) - g(4) = 5/6

b) bg(7 - 4)/(7 - 4) = 5/6

c) g(7) - g(4)/(7 - 4)=5/6

d) g(7)/g(4)= 5/6

**Solution:**

The average rate of change is defined as :

Average rate of change of function x = [g(x_{2}) - g(x_{1})] /(x_{2} - x_{1})

In the problem statement given the x_{2} = 7 and x_{1} =4

Hence

Average rate of change of function = [g(7) - g(4)]/ (7 - 4)

Since the average rate of change is equal to 5/6 as per the problem statement we can write g(7) - g(4)/(7 - 4) = 5/6

## The average rate of change of g(x) between x = 4 and x = 7 is 5/6. Which statement must be true

a) g(7) - g(4) = 5/6

b) bg(7 - 4)/(7 - 4) = 5/6

c) g(7) - g(4)/(7 - 4)=5/6

d) g(7)/g(4)= 5/6

**Summary: **

If the average rate of change of g(x) between x = 4 and x = 7 is 5/6. The statement that must be true is g(7) - g(4)/(7 - 4) = 5/6