Robbisis
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due to an increased use of insecticides the monarch butterfly population in the midwest is decreasing, the population is one tenth as large as the prior yeaar

write an eqaution to model the situation
what will the population be after 5 years



Answer :

Using an exponential function, it is found that:

  • The equation is: [tex]y(t) = 100000(0.1)^t[/tex]
  • The population after 5 years will be of 1 butterfly.

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value.
  • b is the rate of change.

Considering that the initial population is of 100,000 butterflies, and each year the population is 1/10 of the previous year, the parameters are given as follows:

a = 100,000, b = 0.1.

Hence the equation is given by:

[tex]y(t) = 100000(0.1)^t[/tex]

The population after 5 years will be given by:

[tex]y(5) = 100000(0.1)^5 = 1[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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