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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.

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 The class=

Sagot :

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.

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