Question

A wold population is growing exponentially. In 2011 129 wolves were counted. By 2013, the population had reached 236 wolves. What two points can be used to derive exponential equation meddling this situation?

Answer 1

To derive an exponential equation from the given situation, two points with corresponding years and population counts can be used. The exponential equation can be written as P = P0 * (1 + r)^t, where P is the population count at time t, P0 is the initial population count, r is the growth rate, and t is the time in years.

Step-by-step explanation:

To derive an exponential equation from the given situation, we need to find two points with corresponding years and population counts. Let's assume the initial year (2011) as t=0 and the initial population count (129) as P0.

The first point is (0, 129) because in 2011, the population was 129 wolves. The second point is (2, 236) because in 2013, the population had reached 236 wolves.

Using these two points, we can write our exponential equation as P = P0 * (1 + r)^t, where P is the population count at time t, P0 is the initial population count, r is the growth rate, and t is the time in years. Plugging in the values, we get 129 * (1 + r)^0 = 236 * (1 + r)^2. We can simplify this equation to solve for r.