Question 759390: Suppose that f is an exponential function with f (4) = 13 and f (5) = 15. What is the growth factor for f? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Suppose that f is an exponential function with f (4) = 13 and f (5) = 15. What is the growth factor for f?
-------
y = ab^x
-----
13 = ab^4
15 = ab^5
-----
Divide to solve for "b":
b = 15/13
------
Solve for "a":
13 = a(15/13)^4
----
13^5 = 15^4*a
---
a = 13^5/15/4
-----
Equation:
y = [13^5/15^4](15/13)^x
---
y = 7.3342(1.153)^x
===========================
Cheers,
Stan H.
=================
(