The population of the insect months after being transplanted is ,

The function is .

(a)

Substitute in .

At ,  insects were discovered.

(b)

After years .

Substitute in .

The population after years will be .

(c)

The function

Degree of the numerator of the function and degree of the denominator.

Since the degree of the numerator is equal to the degree of the denominator, horizontal asymptote is ratio of leading coefficients.

.

 The largest population that the protected area can sustain is .

(a) .

(b) .

(c) .