Construct exponential models

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 $\dfrac{6}{7}$ 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) = $ [[☃ expression 1]]