SOLUTION: It has been estimated that 900 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days. Assuming th
Algebra ->
Customizable Word Problem Solvers
-> Travel
-> SOLUTION: It has been estimated that 900 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days. Assuming th
Log On
Question 222747: It has been estimated that 900 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days. Assuming that the area covered by the radioactive substance is a linear function of time t and is always circular in shape, express the radius r of the contamination as a function of t.
Do not simplify the number under the radical.
I worked it out and got r=((sqr(24000/pi))/(30))*t. It appears that this is not right though. Please explain what I am doing wrong. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! It has been estimated that 900 curies of a radioactive substance introduced at
a point on the surface of the open sea would spread over an area of 24000km^2 in 30 days.
:
Assuming that the area covered by the radioactive substance is a linear function of time t and
is always circular in shape, express the radius r of the contamination as a function of t.
:
Do not simplify the number under the radical.
:
I think what you got is pretty close, here's my take on this
:
Find the value of r when t = 30 days and area = 24000
:
:
:
Reduce the fraction
:
:
:
r as a function of t
:
:
Check this find radius when t = 30 days
r = 87.4 km
:
Find the area using this value for r
A = pi*87.4^2 = 24,000 sq/km; confirms our solution
