Thread: exponential growth

Tooth size reduction now has a rate of 1% per 1000yrs

A) if t represents time in years and y represents tooth size, use the condition that y=yo.(99) when t=1000 to find the value of k in the equation y=yoe^kt. then use k in B

so k=.00001

B) in about how many years will human teeth be 90% of their present size?

Originally Posted by cyberdx16

Tooth size reduction now has a rate of 1% per 1000yrs

A) if t represents time in years and y represents tooth size, use the condition that y=yo.(99) when t=1000 to find the value of k in the equation y=yoe^kt. then use k in B

so k=.00001

B) in about how many years will human teeth be 90% of their present size?

Hello,

from I got:

k = - 0.00001005. I'll use this value for further calculations.

to B)

First divide by y_0 and then solve for t:



That means: In round about 10500 years the teeth have only 90% of the initial size.

EB