Question

the population of the earth is approximately 6.1 billion people and is growing at an annual rate of 1.4%. Assuming a Malthusian growth mode, find the world population in 29 years. Please round the answer to the nearest tenth of a billion.

Answer 1

I think we can use this equation:
$$ \Large y =6.1~\left(1 + \frac{1.4}{100} \right)^t $$

Answer 2

thank you so much for helping me :)

Answer 3

the "malthusian model' seems a little ambiguous, but the two models come out about the same
$$\Large y= 6.1 e ^{0.014 t } $$

Answer 4

actually it does make a difference, since it says round to the tenth place
using the equation with e, i get 9.2 billion rounded to nearest tenth place

Answer 5

thats what I got as well

Answer 6

the two models come out differently, if you round out to the nearest tenth. i would go with the latter model, using e

Answer 7

$$\Large {
f(t) =6.1~\left(1 + .014 \right)^{~t}
\\\Large f(29) =6.1~\left(1 + .014 \right)^{~29}
= 9.12915
\\~\\\Large g(t)= 6.1 e ^{0.014 t }
\\ g(29) = 6.1 e ^{0.014 \times 29 } = 9.154895

}$$