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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 5 every 22 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 7600 locusts in the population.


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

Respuesta :

cairde

Answer:

y=7600(5^(t/22))

Step-by-step explanation:

This is going to be an exponential function as it grows rapidly.

This type of question can be solved using the formula y=a(r^x), where a is the inital amount, r the factor by which the amount increases and x is the unit of time after which the amount increases.

x=t/22

a=7600

r=5

∴y=7600(5^(t/22))

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