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

Respuesta :

Given that,

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

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

To find,

The population after 2 weeks.

Solution,

We have,

[tex]p=100,000\times (\dfrac{4}{5})^w[/tex]

Put w = 2 in the above equation.

[tex]p=100,000\times (\dfrac{4}{5})^2\\\\=100,000\times \dfrac{16}{25}\\\\=64000[/tex]

So, the population after 2 weeks is 64000 .

The population after 2 weeks is 64000.

Calculation:

Since

[tex]p=100,000\times4\div 5[/tex]

Here w should be no of weeks i.e. 2

So,

[tex]p=100,000\times(4\div 5)^2\\\\= 100,000 \times 16 \div 25[/tex]

= 64,000

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