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State whether the equation represents exponential growth, exponential decay, or neither : y= 5.8(3/7)^x

User Grasesed
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This represents exponential decay because (3/7) is less than 1
User Andrei Fedorov
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We know that the general form of the exponential equation is
y=a(b)^x. We also know that when a>0 and 0<b<1, then this exponential equation will represent an exponential decay.

Now, the expression given to us is
y= 5.8((3)/(7))^x

As we can see from this equation, a=5.8>0, and
b=(3)/(7), thus, 0<b<1, since,
0<(3)/(7)<1 and thus, as per the general form, the given equation
y= 5.8((3)/(7))^x represents exponential decay.

For a better understanding of the explanation provided here, the graph of
y= 5.8((3)/(7))^x has been attached. As can be seen from that graph it indeed is an exponential decay.

State whether the equation represents exponential growth, exponential decay, or neither-example-1
User Irfan Anwar
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