By graphing y = 5 - 2x
2y = 3x - 4

Average Rate of Change = 39

Step-by-step explanation:

The formula to find the average rate of change is

here x₂=3 and x₁ = 1

We are given: f(x) = 3x^3+1

finding f(3) = 3(3)^3 +1

f(3) = 3(27)+1

f(3) = 81+2

f(3) = 82

now finding f(1):

f(1) = 3(1)^3 +1

f(1) = 3(1)+1

f(1) = 4

Now, putting values of f(3)=82 and f(1) = 4 in the formula:

Average Rate of Change = 39