Some time in the future a human colony is started on Mars. The colony begins with 40000 people and grows exponentially to 240000 in 150 years.

Give a formula for the size of the human population on Mars as a function of t= time (in years) since the founding of the original colony

Question

Some time in the future a human colony is started on Mars. The colony begins with 40000 people and grows exponentially to 240000 in 150 years.

Give a formula for the size of the human population on Mars as a function of t= time (in years) since the founding of the original colony

anonymous · Answer

log6/150 = K

(Population multiples by 6, in the span of 150 years)

formula = 40000e^([log6/150]t)

anonymous · Answer

ooohhh ok, makes sense, thanks alot