- #1
Ontophile
- 15
- 0
Homework Statement
A) Suppose that we have 3 quantities, x, y, and z. An increase in x by a factor of F is followed by a subsequent increase of y by a factor of 2F. Furthermore, the very same increase in x by a factor of F results in a subsequent decrease of z by a factor of F/2. Similarly, when x is decreased by a factor of F, y is decreased by a factor of F/2 and z is increased by a factor of 2F. How do I mathematically formalize this relationship between x, y, and z?
B) Now suppose that an increase in x by a factor of F yields an increase in y by a factor of F2 and a decrease in z by a factor of √F (I assume that that's a square root symbol). How do I mathematically formalize THIS relationship between x, y, and z?
C) Lastly, suppose that an increase in x by a factor of F increases y by a factor of F and decreases z by a factor of F? How do I mathematically formalize THIS relationship between x, y, and z?