# Thread: Word Problem. NEED HELP!

1. ## Word Problem. NEED HELP!

On the planet Maximillian live Sprogs and Graks. Initially there were 800 sprogs and 100 Graks. The population of Sprogs doubles every 6 years and that of Graks doubles every 3 years.
a) How many Graks were there after 112 years?

b) When are there as many Sprogs as Graks?

2. ## Re: Word Problem. NEED HELP!

let $S(t)$ be the population of Sprogs as a function of time in years
let $G(t)$ be the population of Graks as a function of time in years

$S(t) = 800 \cdot 2^{t/6}$

$G(t) = 100 \cdot 2^{t/3}$

see what you can do to answer the questions with these two functions