Question

PLEASE PLEASE HELP PLEASE THANK YOU I REALLY NEED IT PLEASE !!!! This table shows values represented by an exponential function What is the average rate of change for this function for the interval from x=1 to x=3 A)12 B)6 C)24 D)9

Answer 1

Answer:

It seems to be D)9 from intervals 1 to 3...

Step-by-step explanation:

Can't really explain that well, but the rate of change in an exponential function should always be decreasing or increasing. Instead of it being constant like a linear equation.

I.E. Not additive, instead to find it we need to divide.

$\frac{27}{3} =9$

So, it should be 9. However, It does not seem to be maintained for the values after 3. Oh well!

Hope this helps!

Answer 2

The average rate of change of the function is 12.

What is the rate of change?

The rate of change function represents the rate at which one quantity changes in relation to another. Simply put, the rate of change is the difference between the amount of change in one item and the comparable amount of change in another.

Rate of change = [ y₂ - y₁ ] / [ x₂ - x₁ ]

The rate of change for x₁ = 1 to x₂  = 3 at x₁ = 1 ,y₁ = 3 and at x₂= 3, y₂ = 27.

Rate of change =  [ y₂ - y₁ ] / [ x₂ - x₁ ]

                          = [ 27 - 3 ] / [ 3 - 1 ]

                          = [ 24 / 2 ]

                          = [ 12 ]

Hence, the correct option is A.

To know more about the rate of change follow

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