The following table shows the amount of caffeine in Trey's bloodstream at various times since he drank a cup of coffee. \begin{tabular}{|c|c|} \hline \# of hours since he drank the coffee & \# of mg of caffeine in his bloodstream \\ \hline 0 & 300 \\ \hline 1 & 270 \\ \hline 2 & 243 \\ \hline 3.5 & 207.477 \\ \hline 4.5 & 186.7293 \\ \hline \end{tabular} a. What is the 1-hour growth (or decay) factor for the number of mg of caffeine in Trey's bloodstream? Preview b. What is the 1-hour percent change for the number of mg of caffeine in Trey's bloodstream? $\%$ Preview

Step 1 ：The 1-hour growth (or decay) factor for the number of mg of caffeine in Trey's bloodstream can be calculated by dividing the amount of caffeine in his bloodstream after 1 hour by the initial amount of caffeine in his bloodstream.

Step 2 ：Let's denote the initial amount of caffeine as \(initial\_caffeine\) and the amount of caffeine after 1 hour as \(caffeine\_after\_1\_hour\).

Step 3 ：From the table, we know that \(initial\_caffeine = 300\) and \(caffeine\_after\_1\_hour = 270\).

Step 4 ：Then, the 1-hour growth (or decay) factor, denoted as \(growth\_factor\), can be calculated as \(growth\_factor = \frac{caffeine\_after\_1\_hour}{initial\_caffeine} = \frac{270}{300} = 0.9\).

Step 5 ：Final Answer: The 1-hour growth (or decay) factor for the number of mg of caffeine in Trey's bloodstream is \(\boxed{0.9}\).