Take the Poll! (and think about exponential growth)
This is an adaptation of a well known story.
Long ago in India, legend says that there lived a ruler , known as a raja; . But every year he kept nearly all of the people's rice for himself.
A person in the village invented the game that we now call 'Chess'.
The ruler offered the villager a choice: Either choose 10 MILLION grains of rice or take 1 grain of race , doubled daily for 30 days.
Option 1
You can have one grain of rice, doubled every day for thirty days
Option 2
You can have 10 MILLION grains of rice
I would choose option #1
I would choose option #2
Explanation and Best Answer
Option 2 is an exponential growth function y =2x
(
229 = 536,870,912
grains of rice
Day by Day break Down
Day
1: 1
Day
2: 2
Day
3: 4
Day
4: 8
Day
5: 16
Day
6: 32
Day
7: 64
Day
8: 128
Day
9: 256
Day
10: 512
Day
11: 1,024
Day
12: 2,048
Day
13: 4,096
Day
14: 8,192
Day
15: 16,384
Day
16: 32,768
Day
17: 65,536
Day
18: 131,072
Day
19: 262,144
Day
20: 524,288
Day
21: 1,048,576
Day
22: 2,097,152
Day
23: 4,194,304
Day
24: 8, 388, 608
Day
25: 16,777, 216
Day
26: 33,554,432
Day
27: 67,108,864
Day
28: 134,217,728
Day
29: 268,435,456
Day
30: 536,870,912
grains of rice
Option 1 ) $1,000,000.
This question demonstrates the trait that we keep coming back to: exponential growth might not start out with much (1 and 2 dollars in the first years), but eventually its rate of growth is humongous!
