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 py a factor of

To find the daily rate of change in the number of people receiving the email, we need to evaluate how much \( P_{\text{hour}}(t) \) changes from one day (24 hours) to the next. We can calculate the daily growth factor by evaluating \( P_{\text{hour}}(24) \) and \( P_{\text{hour}}(0) \) and finding the ratio. After performing the calculations, we find that every day, the number of people who receive the email grows by a factor of approximately **\(2.66\)**. So, each day more than double the number of people are reached compared to the previous day! If you were to send an email in the morning, you could expect the number of recipients to rise dramatically by the next day, spreading like wildfire!