Posted by **Stacy** on Saturday, February 16, 2013 at 3:43pm.

Find a formula for the exponential function that satisfies h(2)=22 and h(4)=14.08

- Math -
**Steve**, Saturday, February 16, 2013 at 3:58pm
if h(x) = ae^bx,

just plug in your values:

22 = ae^2b

14.08 = ae^4b

divide one by the other, and the a's cancel

14.08/22 = .64 = e^2b

e^b = .8

22 = a*.64

a = 34.375

h(x) = 34.375 e^bx = 34.375 * 0.8^x

## Answer This Question

## Related Questions

- calculus - Find a formula for the exponential function that satisfies h(2)=22 ...
- Math - Find the exponential function that passes through (0,5) and (4, 1/2). ...
- Math - Let f(t) be an exponential function with f(0) = 11 and f(4) = 59. Use the...
- Exponential Growth and Decay - Can somebody please check my answers? 1. Identify...
- math - another ? - exponentials - The two formulas f(t) = Pa^t and f(t) = Pe^rt ...
- Algebra - Describe how an exponential function changes as the base increases. ...
- Pre-Calculus - The exponential function y(x)=Ce^ax satisfies the conditions y(0...
- Calculus-Function - sketch the graph of a function in neighborhood x=2 that ...
- Math - True or False. If possible kindly explain why so that I can understand it...
- math - is y=2^x^2 considered a double exponential function or not? I believe it ...

More Related Questions