Determine the daily rate of change in the number of people receiving the email: Dominic sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time $t$, in hours, since Dominic sent the letter, and the number of people, $P_{\text {hour }}(t)$, who receive the email is modeled by the following function: \[ P_{\text {hour }}(t)=18 \cdot(1.05)^{t} \] Complete the following sentence about the daily rate of change in the number of people who receive the email. Round your answer to two decimal places. Every day, the number of people who receive the email grows by a factor of

Step 1 ：The problem is asking for the daily rate of change in the number of people who receive the email. The function given is in the form of an exponential growth function, where the base (1.05) represents the hourly growth rate.

Step 2 ：To find the daily growth rate, we need to raise the base to the power of 24 (since there are 24 hours in a day). This will give us the factor by which the number of people receiving the email grows every day.

Step 3 ：Calculate the daily growth rate: \(1.05^{24} \approx 3.23\)

Step 4 ：The daily growth rate is approximately 3.23. This means that every day, the number of people who receive the email grows by a factor of 3.23.

Step 5 ：Final Answer: \(\boxed{3.23}\)