There is missing information about this question that I found online.
Given function is:
[tex]N(t) = 300\cdot 2^{-\frac{t}{8}}[/tex]
The question is:
Is this exponential growth or decay? Explain using your understanding of the properties of exponents.
This is an exponential decay.
In general, we can write down exponential functions like this:
[tex]f(x)=b^{ax}[/tex]
Parameter a is the key parameter that will tell how exponential function behaves. If it is positive we have an exponential growth. If it is negative we can rewrite function like this:
[tex]f(x)=b^{-ax}=\frac{1}{b^{ax}}[/tex]
We can notice that in this case, the denominator will exhibit exponential growth, in other words, the functions rapidly declines. This is an exponential decay.
