Given a function that models an exponential situation, find the factor by which the quantity changes per unit time interval.


Elon sent a chain letter to his friends, asking them to forward the letter to more friends.
The relationship between the elapsed time, t, in days, since Elon sent the email, and the total number of people who receive the email, P, left parenthesis, t, right parenthesis, is modeled by the following function:

Complete the following sentence about the daily rate of change in the number of people who receive the email.
Every day, the number of people who receive the email
by a factor of
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i