The analysis of tooth shrinkage byC. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yetcome to a halt. In northern Europeans, for example, tooth sizereduction now has a rate of 1% per 1000 years.a. If t represents time in years and y represents tooth size, usethe condition that y = 0.99y0 when t = 1000 to find thevalue of k in the equation y = y0ekt. Then use this value of kto answer the following questions.b. In about how many years will human teeth be 90% of theirpresent size?c. What will be our descendants’ tooth size 20,000 years fromnow (as a percentage of our present tooth size)?
The analysis of tooth shrinkage by
C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yet
come to a halt. In northern Europeans, for example, tooth size
reduction now has a rate of 1% per 1000 years.
a. If t represents time in years and y represents tooth size, use
the condition that y = 0.99y0 when t = 1000 to find the
value of k in the equation y = y0ekt
. Then use this value of k
to answer the following questions.
b. In about how many years will human teeth be 90% of their
present size?
c. What will be our descendants’ tooth size 20,000 years from
now (as a percentage of our present tooth size)?
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