Question

An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail population.

Answer 1

The exponential function to model the quail population is 910*(1.2)^t

Concept: An exponential function is a mathematical function denoted f(x)=\exp or e^{x}. Unless otherwise stated, the term generally refers to a positive function of a real variable, although it may be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

Given data

Initial population= 910 quail

Rate= 20%

Now using the model below:

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

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