Question

A population p of migrating butterflies changes over time it is represented by the equation p=100,000*4/5 where w is the number of weeks since they began migration what will the population be after 2 weeks

Answer 1

Given that,

A population p of migrating butterflies changes over time it is represented by the equation

$p=100,000\times (\dfrac{4}{5})^w$ Where w is number of weeks.

To find,

The population after 2 weeks.

Solution,

We have,

$p=100,000\times (\dfrac{4}{5})^w$

Put w = 2 in the above equation.

$p=100,000\times (\dfrac{4}{5})^2\\\\=100,000\times \dfrac{16}{25}\\\\=64000$

So, the population after 2 weeks is 64000 .