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, ttt, in days, since the beginning of spring, and the total number of locusts, N_{\text{day}}(t)N
day
​
(t)N, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, is modeled by the following function:
Nday(t)=300⋅(1.2)t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of
.