Find the initial population size

The numeric values for the population function are given as follows:Initial population: 49 individuals.Population after eight years: 292 individuals.How to find the numeric value of a function or of an expression?To obtain the numeric value of a function or of an expression, each instance of the input variable in the function or in the expression is replaced by the value at which we want to find the numeric value.The function giving the population after t years is defined as follows:[tex]P(t) = \frac{340}{1 + 6e^{-0.45t}}[/tex]The initial population is the numeric value at t = 0, that is, the lone instance of t is replaced by zero, hence:[tex]P(0) = \frac{340}{1 + 6e^{-0.45(0)}} = \frac{340}{7} = 49[/tex]After eight years, the population is given by the numeric value at t = 8, hence:[tex]P(8) = \frac{340}{1 + 6e^{-0.45(8)}} = 292[/tex]Learn more about the numeric values of a function at brainly.com/question/28367050#SPJ1