Question

The population of endangered white tigers is decreasing at a rate of 9.4% per year. The population of white tigers is currently 12,000 . If this trend continues, what will the population of white tigers be in 5 years?

Answer 1

Using the exponential decay formula, the population of white tigers, initially at 12,000 and decreasing at a rate of 9.4% per year, is estimated to be around 7,795 after 5 years.

Step-by-step explanation:

The current population of white tigers is 12,000. With a yearly decreasing rate of 9.4%, we can calculate the population in 5 years using the formula for exponential decay:

P(t) = P0(1 - r)^t

Where,

• P(t) is the population at time t,
• P0 is the initial population,
• r is the rate of decrease,
• t is the time in years.

Substituting the given values:

P(5) = 12,000(1 - 0.094)^5

Calculating the value:

P(5) = 12,000(0.906)^5

P(5) = 12,000(0.6496)

P(5) ≈ 7,795

Therefore, if the trend continues, the population of white tigers would be approximately 7,795 in 5 years.