A colony of 10 000 roughly circular organisms grows in culture, each with density 0.4 g/cm2 and radius r cm. The energy consumption of the colony is given by
E = 250*[ m / (1000+m) ]
m is its total mass. Find E as a function of the radius r, and determine what
happends to E as r gets large. What does this tell you about this colony?
I know that mass = density*radius, so
E = 250[ (0.4*pi*r^2) / (1000 + 0.4*pi*r^2) ]
What happens to E as r gets larger?