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A study is done on the population of a certain fish species in a lake. Suppose that the population size P(1) after years is given by the following exponential
function.
P(t) = 400(1.22)
Find the initial population size.
Does the function represent growth or decay?
O growth O decay
By what percent does the population size change each year?

Respuesta :

mhanifa

Answer:

  • Growth
  • 22%

Step-by-step explanation:

Given function:

  • [tex]P(t) = 400(1.22)^{t}[/tex]

Initial population size is when t = 0

  • P(0) = 400(1.22)⁰ = 400(1) = 400

The multiple of 1.22 is applied every year, so the ratio of change is:

  • 1.22 = 122% = 100% + 22%

This is an exponential growth which represents 22% annual growth.

MisterBrainly

The function is

  • y=400(1.22)^t

As per y=ab^x

  • 1.22 is the rate of change

Its growth as it's greater than 1

The percentage increase is

  • 1.22-1
  • 0.22
  • 22%