Question

PLEASE HELP SOS
What type of exponential function is f(x) = 0.3(2.6)^x?
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.

Answer 1

Answer:

Part a) Is a growth function

Part b) The function's percent rate of change is 160%

Step-by-step explanation:

we have

$f(x)=0.3(2.6^x)$

This is a exponential function of the form

$f(x)=a(b^x)$

where

a is the initial value or y-intercept

b is the base of the exponential function

If b> 1---> we have a growth function

if b< 1---> is a decay function

r is the percent rate of change

b=(1+r)

In this problem we have

$a=0.3$

$b=2.6$

The value of b >1

so

Is a growth function

Find the value of r

$r=b-1=2.6-1=1.6$

convert to percentage

$r=1.6*100=160\%$