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 ):

ANSWER

B)


EXPLANATION

Let the function be of the form



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,



This implies that,





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


The point (1,90) also lies on the graph of the function. This gives us,









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



The correct answer is B.

The principal, real, root of: 50−−√2=7.071067817.07106781−7.0710678150 is not a perfect square