I had this conversation once back when I was in University...when I was a fresh Engineering nerd. I had a cheap discman ( portable CD player worth $24.99 ) which a classmate made fun of.
I explained the Quality (y) vs Price (x) graph differently as a y=ln(x) graph where the quality increases rapidly as price increases, but levels off where you can pay a lot more but have little increase in quality. Rotate your graph CCW 90 degs, and mirror it so Price is the X-axis.
He then explained that he felt the Coolness (y) vs Price (x) graph was similar to your exponential y=b^x graph. That since he spent more money he was cooler. Where if he spent 10x the money, that his coolness would skyrocket.
I then replied that the Self-Esteem (y) vs Price (x) graph is the exact inverse function. y = b^-x
see link below for graphical illustration if you don't know what I mean. http://www.themathpage.com/aPreCalc/logarithmic-exponential-functions.htm
3 comments:
lol. i that's one awesome graph i agree with! gotta love graphs!! ^^
I had this conversation once back when I was in University...when I was a fresh Engineering nerd. I had a cheap discman ( portable CD player worth $24.99 ) which a classmate made fun of.
I explained the Quality (y) vs Price (x) graph differently as a y=ln(x) graph where the quality increases rapidly as price increases, but levels off where you can pay a lot more but have little increase in quality. Rotate your graph CCW 90 degs, and mirror it so Price is the X-axis.
He then explained that he felt the Coolness (y) vs Price (x) graph was similar to your exponential y=b^x graph. That since he spent more money he was cooler. Where if he spent 10x the money, that his coolness would skyrocket.
I then replied that the Self-Esteem (y) vs Price (x) graph is the exact inverse function. y = b^-x
see link below for graphical illustration if you don't know what I mean.
http://www.themathpage.com/aPreCalc/logarithmic-exponential-functions.htm
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