Question

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.

Answer 1

Answer:

$L(t) = 4600\bigg(\dfrac{6}{7}\bigg)^{\frac{t}{2.4}}$  

Step-by-step explanation:

We are given the following in the question:

Number of locusts on first day = 4600

Gain in locust population every 2.4 days =

$\dfrac{6}{7}$

Thus, we can write the following function to model locust population in t days.

$L(t) = 4600\bigg(\dfrac{6}{7}\bigg)^{\frac{t}{2.4}}$

is the required function.

L(t) is a dependent function on t, L(t) is locusts population and t is amount of time in days.