document.write( "Question 194642: Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. \n" ); document.write( "

Algebra.Com's Answer #146033 by RAY100(1637) $\"\"$ $\"About$

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if we use the form,, y = C(1 + r)^t,, for exponential growth,,this makes sense,
\n" ); document.write( "as t grows, y also grows but at exponential rate. If r=.2, as t grows 1, y grows 1.2 C,
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\n" ); document.write( "if we look at the form , y=C(1-r)^t,,,for exponential decay,
\n" ); document.write( "as t grows, y decays at an exponential rate. If r=.2, as t grows 1, y decays to .8C.
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\n" ); document.write( "to remember this think of it as the discount vs tax increase.
\n" ); document.write( "we use (1+r) for taxes (increases),,,,and (1-r) for discounts.
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\n" ); document.write( "Good Question,,,,keep up good work \n" ); document.write( "

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