Question

The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?

Answer 1

634

Explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000
`(0.75)^(x)`

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000
`(0.75)^(20)`

= 200000(3.171211939 x
`10^(-3)`)

= 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.