Question

Professor garcia has been studying ways to encourage the growth of a population of endangered california seals. The current population of the seals is 600, and Professor Garcia believes that the population will grow at 3 percent if a conservation plan is put in pace. She models the population, P, of the seals after T years using the function P=(T)=abt. What would be the value of b in this function?

Answer 1

The value of b in the function P(T) = ab^t can be determined by using the given information.

Step-by-step explanation:

The value of b in the function P(T) = ab^t can be determined by using the given information. In this case, we know that the population will grow at a rate of 3 percent if a conservation plan is put in place. This growth rate, 3 percent, can be represented as 0.03. So the equation becomes P(T) = a(1 + 0.03)^t.

Since we are given the initial population (600 seals), we can substitute these values into the equation to solve for b.

Using the formula: P(T) = 600(1 + 0.03)^T.

Therefore, the value of b is 1 + 0.03.