Given the table with values for A and r, answer the folowing:
r 2 3 4 5
A 12.57 11.31 50.28 78.56
a. What equation represtnts the relationship of the values in the table above?
b. Find the constant of variation.
c. If r = 8, what would be A?
Not enough data to see a pattern
http://www.wolframalpha.com/input/?i=plot+%282%2C12.57%29%2C+%283%2C11.31%29+%2C+%284%2C50.28%29%2C+%285%2C78.56%29
yes, i know. that is why i also had a hard time. but this is what is written in our textbook. oh well! i don't know what to do now. :)
What is the topic for this question?
Are you learning about "curve fitting" ?
nope. we are learning about variations. i think with this problem, it involves direct square variation. but the problem is, i get a different answer when r=3 and A=11.31 from the rest. is that possible?
A direct square variation is a quadratic
Given any 3 points , I can find that quadratic, but we can't "force" a fourth point on it.
e.g
A = 20.115r^2 - 101.835r + 135.78
produces the first 3 points , but not the last one