Question

Suppose that the number y of otters t years after otters were reintroduced into a wild and scenic river is given by the formula below.

y = 2500 − 2490e−0.1t(a) Find the population when the otters were reintroduced (at t = 0).

Answer 1

The population when the otters were reintroduced (at t = 0) is 10.

Step-by-step explanation:

To find the population when the otters were reintroduced (at t = 0), we need to substitute t = 0 into the formula y = 2500 - 2490e^(-0.1t).

Substituting t = 0, we have y = 2500 - 2490e^(0).

Since any number raised to the power of 0 is 1, we have y = 2500 - 2490(1) = 2500 - 2490 = 10.

Therefore, the population when the otters were reintroduced (at t = 0) is 10.