This is the question asked?

An exponential function is of the form y = ab^{x}, where a is the initial amount, b is the common growth/decay factor and x is the time or the independent variable.

Look at the equation given, the common decay factor, b, is \frac{2}{3}. In the equation a = 100,000,000 and h is the number of hours.

Look at the graph given,

The points in the graph are (0,250) (1, 150) and so on.

The common growth/decay factor can be found out like dividing \frac{150}{250} = \frac{3}{5}.

So, now compare the fractions \frac{2}{3} and \frac{3}{5} .

Which fraction is smaller? The smaller fraction decays faster.

Here is a similar discussion for you to understand this concept better.

https://www.qalaxia.com/viewDiscussion?messageId=5ef4298b4c60f073ae824e8f

Please get back to me if you have not understood this. You can also post your doubt anonymously. Just saying.

Hey ITZ, are you sure that is the entire question? What is it that you want help with?