SOLUTION: what are rubas

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: what are rubas      Log On


   



Question 927192: what are rubas
Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Doesn't sound algebra related.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
This is about exponential+relationships, in which a quantity grows larger or smaller at an increasing+rate rather than at a constant+rate in linear relationships.
Exponential growth is everywhere in the world. It isn't just counting how many Rubas a peasant gets from the king in a math book. One example of exponential growth in real life is allowance. Say your daily allowance is 25 cents. You make a deal with your parents to double your allowance daily for 10 days. It wouldn't seem like you were making much money at the start, but at the end of the 10 days, you would have made $128!
When I think about Real life use for Exponential Relationships, I think about money. Taxes involve Exponential Relationships too. They have a specific pattern to them and if you follow it correctly you'll know how much your next bill will be. :)
here is the story about rubas:
One day in the ancient kingdom of Montarek, a peasant saved the life of the king’s daughter. The king was so grateful he told the peasant she could have any reward she desired.
The peasant—who was also the kingdom’s chess champion—made an unusual request:
“I would like you to place 1 ruba on the first square of my chessboard, 2 rubas on the second square, 4 on the third square, 8 on the fourth square, and so on, until you have covered all 64} squares. Each square should have twice as many rubas as the previous square.”
The king replied, “Rubas are the least valuable coin in the kingdom. Surely you can think of a better reward.” But the peasant insisted, so the king agreed to her request.
Did the peasant make a wise choice?
think about this request:
1 ruba on the first square of my chessboard,
2 rubas on the second square,
4=2%5E2 on the third square,
8=2%5E3
16=2%5E5
32=2%5E6
64=2%5E8
128=2%5E9
256=2%5E10..........9th square
512=2%5E11
:
:
and so on, up to 64th square
an equation for the relationship between the number of the square n and the number of rubas, r is:
r=2%5E%28n-1%29 or r=%281%2F2%29%2A2%5En+
Exponential vs Linear growth :-) life lesson: always try to choose better deal