Question

he table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, two-fifths, StartFraction 2 Over 25 EndFraction, StartFraction 2 Over 125 EndFraction. What is the multiplicative rate of change of the function? One-fifth Two-fifths 2 5

Answer 1

Exponential functions are defined as y = Abˣ, where b > 0 and b≠1. The multiplicative rate of change of the function is (1/5).

What is an exponential function?

Exponential functions are defined as y = Abˣ, where b > 0 and b≠1. As with every exponential equation, b is known as the base and x is known as the exponent. Bacterial growth is an example of an exponential function. Some germs multiply every hour.

An exponential equation is represented by y=Abˣ, given the table with the values, substitute the values from the first row we will get,

y=Abˣ

2=A x b¹

2 = Ab

A = 2/b

Now, substitute the values in the equation from the second row,

y=Abˣ

$\dfrac{2}{5} = \dfrac{2}{b} \times b^2\\\\\dfrac{2}{5} = 2b\\\\b= \dfrac{1}{5}$

Hence,  the multiplicative rate of change of the function is (1/5).

Learn more about Exponential Function:

https://brainly.in/question/15915245

#SPJ1