elle7539
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

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?

Sagot :

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%
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.