Question 430080: Let Q represent the mass of a quantity of
carbon 14, whose half-life is 5437 years. The
quantity present after t years is given by
Q = 9 (1/2)t/5437
Sketch the graph of the function over the
interval t = 0 to t = 10000.
a) Find the initial quantity.
b) Find the quantity present after 2171 years.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Let Q represent the mass of a quantity of
carbon 14, whose half-life is 5437 years. The
quantity present after t years is given by
Q(t) = 9 (1/2)^(t/5437)
--------------------------------
Sketch the graph of the function over the
interval t = 0 to t = 10000
Note: This site's graphing cannot handle that
large a domain. It does not provide a true
picture of what is happening to the function
values as they decrease over 10,000 years.
-----------------------------------.
a) Find the initial quantity.
Q(0) = 9*(1/2)^0 = 9 units of wt.
=====================================
b) Find the quantity present after 2171 years.
Q(2171) = 9(1/2)^(2171/5437) = 6.82403.. units of wt.
====
Cheers,
Stan H.
|
|
|
