an initial population of 895 quail increases at an annual rate of 7%. write an exponential function to model the quail population

If N(t) is the population after t years, we write:

 

N(t) = 895*k^t where k is found from the fact that when t = 1 year N(1) = 1.07*895, so:

 

1.07*895 = 895*k¹  so k = 1.07

 

Hence N(t) = 895*1.07^t

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