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 87% 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 1100 locusts in the population.

Write a function that models the locust population t days since the first day of spring.

L(t) =

Answer 1

`L(t) = 1,100*(1+0.87)^{(t)/(2.4)}`

Explanation:

The locust population grows according to an exponential model with the following general formula:

`L(t) = L_0*(1+r)^{(t)/(T)}`

Where 'L0' is the initial locust population, 'r' is the increase rate after 'T' days, and 't' is the time passed, in days.

Applying the given data, the function that models the locust population t days since the first day of spring is:

`L(t) = 1,100*(1+0.87)^{(t)/(2.4)}`