Problem Solving math

The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria doubles every minute.


I suggest you make a table.Start with 0 time and 1 bug.

time #bugs
0&nbsp&nbsp&nbsp&nbsp&sbsp&nbsp&nbsp&nbsp1
1&nbsp&nbsp&nbsp&nbsp&sbsp&nbsp&nbsp&nbsp2
2&nbsp&nbsp&nbsp&nbsp&sbsp&nbsp&nbsp&nbsp4
3&nbsp&nbsp&nbsp&nbsp&sbsp&nbsp&nbsp&nbsp8
4&nbsp&nbsp&nbsp&nbsp&sbsp&nbsp&nbsp&nbsp16
5&nbsp&nbsp&nbsp&nbsp&sbsp&nbsp&nbsp&nbsp32

Note that 2^2 = 4 and 2^3 = 8 and 2^4 = 16. Do you see a pattern?


So, you start with q bacteria. After one minute, you it will double, so you'll have 2q bacteria. After 2 minutes, it will again double, so you'll have 4 q bacteria. AFter 3 minutes, it will again double, so you'll have 8q bacteria. After 4 minutes, it will again double, so you'll have 16q bacteria. Can you see the relationship minutes and the amount of q bacteria?


Thank you Dr. Bob and Dan!

We did go over a problem similar like this in my class - but, I did not really understand it then very well. I really dislike word problems!


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