Question

Which function equation is represented by the graph?

A)f(x)=40(3.25)^x
B) f(x)=40(2.25)^x
C) f(x)=40(1.5)^x
D) f(x)=40(2.5)^x

PLEASEE HELP ):

Answer 1

the answer is B. f(x)=40(2.25)x

good luck!

Answer 2

ANSWER

B)

`f(x) = 40( {2.25})^(x)`



Step-by-step explanation

Let the function be of the form


`f(x) = a( {b})^(x)`

Then the point (0,40) lies on the graph of this function. This point must satisfy the equation of the function.

We substitute the point to get,



`40 = a( {b})^(0)`


This implies that,



`40 = a( 1)`



`40 = a`

We substitute a=40 into the function equation to get,



`f(x) = 40( {b})^(x)`
The point (1,90) also lies on the graph of the function. This gives us,



`90= 40( {b})^(1)`



`90= 40b`




`(90)/(40) = b`


`b = 2.25`



We substitute the value of b also into function to get,




`f(x) = 40( {2.25})^(x)`

The correct answer is B.