food poisoning occurs when bacteria like salmonella and listeria grow on food. these microorganisms grow at…

Explanation:

Step1: Analyze the exponential - growth formula

The formula for the number of bacteria is $b = 100(8)^{h}$, where $b$ is the number of bacteria and $h$ is the number of hours. When $h = 0$, $b=100(8)^{0}=100$. As $h$ increases, the value of $b$ will increase exponentially.

Step2: Check the initial - value and growth trend of the graph

The graph should start at the point $(0, 100)$ (since when $h = 0$, $b = 100$) and show an exponential upward - trend. The given graph starts above $100$ on the $b$ - axis when $h = 0$ and has an exponential growth shape. But we need to consider the correct initial value. Let's find the value of $b$ for some small non - zero values of $h$. When $h = 1$, $b=100\times8 = 800$; when $h = 2$, $b=100\times8^{2}=100\times64 = 6400$. The graph should show a rapid increase as $h$ increases.

Answer:

The graph that starts at the point $(0,100)$ and has an exponential upward - trend (not the one shown in the image as it starts above 100 when $h = 0$) is the correct graph for the function $b = 100(8)^{h}$. Since no other options are given, we can only describe the characteristics of the correct graph. The correct graph has an initial value of 100 (when $h = 0$) and shows exponential growth as $h$ increases.