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


On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom.
The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts, L, left parenthesis, t, right parenthesis, is modeled by the following function:

Complete the following sentence about the rate of change in the locust population.
The population of locusts gains 47, percent of its size every
  • 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