On the first day of spring and entire field of flowering trees blossom. The locus population Gaines 87% of its size every 2.4 days, and could be models by a function, L, which depends on the amount of time, T in days before the first day of spring there was 1100 locations in the population write a function of the model of the local population T day since the first day of spring

L(t) = 1100(1.87)^(t/2.4)

Corrected 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 0.87 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.

Step-by-step explanation:

Given;

Initial amount P = 1100

Rate of growth r = 87% = 0.87

Time step k = 2.4 days

The case above can be represented by an exponential function;

L(t) = P(1+r)^(t/k)

Where;

L(t) = locust population at time t days after the first day of spring

P = initial locust population

r = rate of increase

t = time in days

k = time step

Substituting the given values;

L(t) = 1100(1+0.87)^(t/2.4)

L(t) = 1100(1.87)^(t/2.4)

the locust population t days since the first day of spring can be modelled using the equation;

L(t) = 1100(1.87)^(t/2.4)

a. the residual plot for model 1 has a random pattern and is a good fit for the data.