Question

In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000. If the trend continues, in what year will the bird population reach 100,000? (Round to the nearest year)

Answer 1

Exponential growth is the process through which quantity rises over time. The population of the birds will reach 100,000 in 16.6 years from 2001.

What is exponential growth?

Exponential growth is the process through which quantity rises over time. It happens when the instantaneous rate of change of a quantity with respect to time is proportionate to the amount itself.

In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005, the same survey was made and the same bird population was estimated at 59,000.

As per the given information the population of the bird changed from 47,000 to 59,000 in five years, therefore, we can write,

59,000 = 47,000(1+r)⁵

(59/47) = (1+r)⁵

1.046528 = 1+r

r = 0.046528

Now, the time it will take for the population to reach 100,000 will be,

100,000 = 47,000(1+0.046528)ⁿ

$\dfrac{\log(\frac{100}{47})}{\log{1.046528}} = n\\\\n = 16.6019$

Thus, the population of the birds will reach 100,000 in 16.6 years from 2001.

Learn more about Exponential Growth:

https://brainly.com/question/11487261

#SPJ1