A population of wolves in a country is represented by the equation P(t)= 80(0.98)^t, where t is the number of years since 1998. predict the number in the population in the year.
To predict the number of wolves in the population in a specific year, you need to substitute the value of t with the corresponding number of years since 1998 in the equation P(t) = 80(0.98)^t.
Let's assume you want to predict the number of wolves in the year 2025.
Step 1: Determine the number of years since 1998 to 2025.
Since the year 2025 is 27 years after 1998, t will be equal to 27.
Step 2: Substitute the value of t in the equation.
P(t) = 80(0.98)^t
P(27) = 80(0.98)^27
Step 3: Calculate the predicted number of wolves.
To calculate this, you need to solve the equation:
P(27) = 80(0.98)^27
P(27) ≈ 80(0.471)
P(27) ≈ 37.68
Therefore, the predicted number of wolves in the population in the year 2025 is approximately 37.68.