Question

In Teaneck, the fruit fly population in millions is modeled by Where t is in millions after June 1st, 2002. Find this function…Estimate the initial population of fruit flys on June 1st, 2002. Initial population is = _______ Estimate the population after many months - for example many years into the future. Population well into the future is = ________

Answer 1

Given function is

$f(t)=\frac{8t+4}{t+1}$

where t is in months after June 1st, 2002.

Substitute t=0 in the function, to find the initial population.

$f(0)=\frac{8(0)+4}{(0)+1}$

$f(0)=4\text{ million}$

The initial population of fruit flys on June 1st, 2002 is 4 million.

The graph of the given function is

We need to find the population after many months - for example, many years into the future.

Let us take t=100, and substitute in the given function, we get

$f(100)=\frac{8(100)+4}{100+1}$

$f(100)=\frac{804}{101}$

$f(100)=7.96$

Round off, we get

$f(100)=8$

Hence the population well into the future is 8 million.