Question

Explain how you can just look at an equation or an expression and correctly identify which type of change it represents, growth or decay.

Answer 1

Let r be any rate in decimal form:
\(y = a(1+r)^t\) will represent growth

\(y = a(1 - r)^t\) will represent decay

Answer 2

For example, if the rate was 12%,then r = 0.12 and

\(y = a(1.12)^t\) would represent a growth rate of 12%
\(y = a(0.88)^t\) would represent a decay factor of 12%

Answer 3

May you please explain it?

Answer 4

For more info, read this:
http://www.regentsprep.org/regents/math/algebra/ae7/expdecayl.htm

Answer 5

Thank you :) I get it now.