What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal, in the box. Do not round

Question

this is for high school math so help plzzz

Answer 1

What is the average rate of change of the function f(x)=20(14)xf(x)=20(14)x from x = 1 to x = 2? Enter your answer, as a decimal, in the box. Do not round
this is for high school math so help plzzz

 

I am assuming that the function is f(x)=20(14)x, if it is

 

then f(x)=280x , The average rate of change between x =1 and x=2

is the slope of the function between the 2 and 1

 

Average rate of change = [f(b)-f(a)/b-a]  let a and b be x and y

 

f(a)=f(x)=f(1)=280x1=280

f(b)=f(y)=f(2)=280x2=560

 

Average rate of change = [f(b)-f(a)/b-a]=[(560-280)/(2-1)]=280

 

There is no decimal unless the function given is wrong

 

Answer 2

The average rate of change is equal to the slope of the line connecting the endpoints of the function on the specified interval.  On the interval [1,2], the endpoints are (1,f(1)) and (2,f(2)).  The slope is:

 

slope = (f(2) - f(1))/(2-1)

 

I think your function is f(x) = 20·14^x so f(1) = 20·14¹ and f(2) = 20·14² and:

 

slope = 20(14²-14¹)/(2-1)

 

Finish the calculation to get the answer.