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{{ printedBook.courseTrack.name }} {{ printedBook.name }} Ron-Jon claims that $f(x)=15(0.3)_{x}$ has a growth factor of $0.3.$ To determine what is wrong with this statement, let's look at the basic form of an exponential function. $y=ab_{x} $ Recall that if $a>0$ and $0<b<1,$ then the function represents exponential decay. In our given situation, we have $a=15$ and $b=0.3.$ $y=ab_{x}⇔y=15(0.3)_{x} $ We can see that our $b-$value is greater than $0$ and less than $0.1$ Therefore, the function represents exponential decay. Ron-Jon claimed that the function has a growth factor of $0.3,$ but we know that $0.3$ is actually the decay factor. Another way to show this is by graphing the function.

As we can see, the given function is decaying, not growing. Therefore, it is incorrect to say it has a growth factor.