Wildlife biologists are tracking the population of albino deer in an upstate New York forest preserve. They record the population every year since 2005, which they consider to be t=0. Their data is shown in the table below.

(A) Although neither a linear nor an exponential function would model this data perfectly, justify why an exponential function would be a much better fit. Specifically, explain both why a linear function would not be a good fit while an exponential would be reasonable.

(B) Determine an equation for an exponential that models this data set in the form of P=a(b)^t.

(C) Use your model to predict the population of deer in the year 2014.

Question

08-02-2022
Mathematics

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Wildlife biologists are tracking the population of albino deer in an upstate New York forest preserve. They record the population every year since 2005, which they consider to be t=0. Their data is shown in the table below.

(A) Although neither a linear nor an exponential function would model this data perfectly, justify why an exponential function would be a much better fit. Specifically, explain both why a linear function would not be a good fit while an exponential would be reasonable.

(B) Determine an equation for an exponential that models this data set in the form of P=a(b)^t.

(C) Use your model to predict the population of deer in the year 2014.

Sagot :

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Pstnonsonjokuidn Pstnonsonjokuidn · Answer 1 · 2022-02-11T08:49:44-05:00

From the model, we can tell that in the year 2014, the population will be 774.

What is an exponential function?

An exponential function is a function of the type f(x) = a^x. We must note that an exponential function is proper for modelling growth since such functions do not follow a linear model.

The general form of the function will be P=86(1)^t where t is the time interval. In the year 2014, we have; P = 86(1)^9 = 774.

Learn more about exponential functions:https://brainly.com/question/15352175

Sagot :

What is an exponential function?

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