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.
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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