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 locust population gains 6/7 of its size every 2.4 days, and can be modeled by a function, L, which depends on the amount of time, t, in days. Before the first day of spring, there were 4600 locusts in the population. Write a function that models the locust population t days since the first day of spring.

L(t) =