Question 664343: I am sorry to post this again but I have been trying to work this out for almost two weeks now :(. I did get one reply but it was an excel job and the graph wasn't a straight line so i assume i miscommunicated the question.
""The intensity of radiation, R, from certain radioactive materials at a particular time, t, is thought to follow the law R=k(t)^n
In an experiment to test this, the following values were obtained.
R - [58][43.5][26.5][14.5][10]
t - [1.5][2][3][5][7]
(the above is supposed to be a table but i cant work out how to create one)
a) show the assuption was correct, utilising your graphical and mathematical knowledge. (please use correct graph paper)
b) find values for, k, and, n, using your graph, thus state the equation in full""
Now I got as far as making a straight line graph, by using the correct log-log graph paper, however my multiple gradient calculations keep changing due to it being log-log paper, filled with various different sized squares/rectangles. I have no idea how to find the missing variables.
I know it is supposed to tie in with Determination of Law but i dont know how this helps...but i got this far with that...
R = k(t)^n
logR = logk(t)^n
logR = logk + logt^n
logR = logk + nlogt
Please somebody help me out with this...i have less than a week to hand this in and i have literally spend hours trying, and failing, to work this beast out.
Steve
Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! See this URL for an explanation on how to interpret a log-log graph. See section 3. It is exactly the same form as the equation you are given. I think it has what you need.
http://eng.auburn.edu/cheweb/writing/How_to_Prepare_and_Interpret_Graphs.pdf
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