document.write( "Question 183557: Without graphing, determine whether each equation represents exponential growth or decay.\r
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Algebra.Com's Answer #137786 by jim_thompson5910(35256) $\"\"$ $\"About$

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The general form of any exponential equation is $\"y=a%2Ab%5Ex\"$ . If $\"b%3E1\"$ , then as \"x\" increases, then \"y\" increases at an exponential rate. If $\"b%3C1\"$ , then as \"x\" increases, then \"y\" decreases at an exponential rate (ie it exponentially decays).\r
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\n" ); document.write( "\n" ); document.write( "So in the first equation $\"b=7%3E1\"$ , this tells us that the first equation represents exponential growth.\r
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\n" ); document.write( "\n" ); document.write( "On the other hand, in the second equation, because $\"b=0.5%3C1\"$ , this means that the second equation represents exponential decay. \n" ); document.write( "

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