Math
posted by mysterychicken .
1. Exponential growth follows the formula y=a(1+r)^x and exponential decay follows the formula y=a(1r)^x..
This seems obviously TRUE
But now I'm having doubts about the decay formula
Is this true or false?

Normally exponential growth is expressed as
f(t) = a e^kt
and exponential decay is
f(t) = a e^kt
If 0<r<1, then the statement is true, since then we have
1r < 1 so we have a fraction, and exponential of a fraction is e^kt for some k.
With no restrictions on r, things get a bit dicier.
I think in your case, say you have a 12% growth rate. Then
f(x) = a(1.12)^x
At 12% decay rate would then mean that 88% is left after each interval, so you would indeed have
f(x) = a(1.12)^x = a(.88)^x
Respond to this Question
Similar Questions

Math
Classify the model as exponential growth or exponential decay. Identify the growht or decay factor and the percent increase or decrease per time period. 
Emergancy help!!!!!!!!!
Classify the model as exponential growth or exponential decay. Identify the growth or decay factor and the percent increase or decrease per time period. y=16(1.25)^t 
Algebra
Determine if the equation y = 2^x represents exponential growth or decay I thought at first it was growth but now I think it might be decay because there is no "b" in a parentheses so do I assume b is less than 1 so it's decay? 
Math
Part 1: How are exponential growth and decay present in the real world? 
Math Please Help
How are exponential growth and decay present in the real world? 
math
18. Exponential growth follows the formula y= a(1+r)^x and exponential decay follows the formula y= a (1r)^x. False? 
Exponential Growth and Decay
Can somebody please check my answers? 1. Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x a)a=14, b=x b)a=14, b=2 <<<< c)a=28, b=1 d)a=28, b=x 2. Identify the initial amount 
Math
Write the exponential function y=6(1.21)t in the form y=aekt. (a) Once you have rewritten the formula, give k accurate to at least four decimal places. k= help (numbers) If t is measured in years, indicate whether the exponential function … 
am I right ? or no?
Which equations represent exponential growth? 
Math
Does the function represent exponential growth or exponential decay. Identify the growth or decay factor. y=9 x (1/2) I'm not sure how to make the chart to show the decay.