Exponentials And Logarithms

Question 1

Why wouldn’t an exponential model of the growth of a population up to 100 years be realistic? Give two reasons.

Answer 1

Model predicts growth never stops.
100 years is too far away to predict populations.

Question 2

Model is theta = 18 + 65e^-t/8
Why can’t the temp fall to 15°

Answer 2

Because as e^-t/65 tends to zero, model is 18 which is above 15°c.