To model the grizzly bear population as it increases at a rate of 6% each year, you can use the formula for exponential growth:
\[ F(x) = P(1 + r)^x \]
Where:
- \( F(x) \) represents the population of grizzly bears after \( x \) years
- \( P \) is the initial population, which is 250 in this case
- \( r \) is the growth rate in decimal form, which is 6% or 0.06 in this scenario
Substitute these values into the formula:
\[ F(x) = 250(1 + 0.06)^x \]
Therefore, the function that models the grizzly bear population growth is:
\[ F(x) = 250(1.06)^x \]
This function will give you the number of grizzly bears in the population after \( x \) years considering a 6% growth rate annually.Answer:
