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 increases by a factor of 555 every 222222 days, and can be modeled by a function, LLL, which depends on the amount of time, ttt (in days). Before the first day of spring, there were 760076007600 locusts in the population. Write a function that models the locust population ttt days since the first day of spring.

Answer 1

To model the locust population, we can use an exponential growth function. The initial population is given as 7600, and it increases by a factor of 555 every 222222 days. The function is L(t) = 7600 * 555^(t/222222).

Step-by-step explanation:

To model the locust population, we can use an exponential growth function. The initial population is given as 7600. The population increases by a factor of 555 every 222222 days. Let's denote the time since the first day of spring as t. The function can be written as:

L(t) = 7600 * 555^(t/222222)

For example, if we want to find the locust population after 1 year (365 days), we can substitute t = 365 into the function:

L(365) = 7600 * 555^(365/222222)

By evaluating this expression, we can determine the locust population at any given time since the first day of spring.

Answer 2

Answer: L(t)= 7600 times 5^t/22

Step-by-step explanation:

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