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A forest has 800800800 pine trees, but a disease is introduced that kills \dfrac{1}{4} 4 1 ​ start fraction, 1, divided by, 4, end fraction of the pine trees in the forest every year.

Answer :

Answer:

P(t) = 800 (3/4)t

Step-by-step explanation:

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The required function that represents the situation is [tex]y=800(\frac{1}{4} )^t[/tex]

Exponential function

The standard exponential function is expressed as:

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

  • a is the initial pine trees
  • b is the growth rate/decline
  • t is the time taken

Given the following parameters:

a = 800

b = 1/4

Substitute into the formula to have;

[tex]y=800(\frac{1}{4} )^t[/tex]

Hence the required function that represents the situation is [tex]y=800(\frac{1}{4} )^t[/tex]

Learn more on exponential function here: https://brainly.com/question/12940982

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