a. y = 360,000(0.973^x)
b.
Years since 2022 | Gorilla Population
------------------|------------------
5 | 343,945
10 | 288,945
20 | 166,945
c. The table shows exponential decay because the population of the gorillas is decreasing by a consistent rate each year. Exponential decay is a mathematical model that can be used to predict population changes in endangered species. This model is based on the idea that the population of a species will decrease by a certain percentage each year. This percentage is determined by the rate of population decline, which is usually caused by human destruction of the species' natural habitat. By using this model, scientists can accurately predict the population of an endangered species in the future and take steps to protect it.
Every year, endangered species experience population decline and are pushed closer to extinction. This decline in population is mostly caused by human destruction of these species' natural habitat. The Western Lowland Gorilla is an example of an endangered species. In 2022, there are 360,000 Western Lowland Gorillas remaining, with an annual population decline of 2.7%.
a. Use what you've learned in this unit to model the population of Western Lowland Gorillas after 5, 10 and 20 years. Let y equal the population of the gorillas and x represent the number of years since 2022. Show your work.
b. Use the information calculated in step A to create a table showing the Gorilla population after 5, 10 and 20 years.
c. Explain why the table shows exponential decay. Summarize how scientists can use exponential decay to predict population changes in endangered species. Summarize your answer in 1-2 paragraphs.
2 answers
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