Question

If a culture starts with 2 cells and has a generation time of 1 hour, how many cells are there after 24 hours?

Answer 1

48 cells

Answer 2

Lol same as my smartscore

Answer 3

Do you need to know how to get it?

Answer 4

\[N _{f}= N _{i}\times 2^{n}\] ......Nf is the final # of Cells
Ni is the initial # of cells
2N is the generation

Answer 5

Yes, correct

Answer 6

how did you get 48...

Answer 7

Hmm..

Answer 8

Ni= 2
n=24

Answer 9

I wonder if I should change my answer

Answer 10

we can do this arithmetically also if you prefer a non-sophisticated solution

Answer 11

Im just confused because I dont know how to incorporate the time.

Answer 12

Yeah that is what I did at first...

Answer 13

The easy way I think is to set up a proportion, 2 cells/1 hour = x cells/24 hours

Answer 14

Maybe...

Answer 15

you can't do that... the growth is exponentially

Answer 16

Yeah

Answer 17

ok, basically

every hour, it doubles

it lasts for 24 hours

your n value would be 24 hours/ 1 hour

Answer 18

n= number of times it doubles

Answer 19

so 2 cells times 2 equals 4 then I times by 24?

Answer 20

continue the process till you are at the 24th hour...

Answer 21

It grows by 2 each hour

Answer 22

right

Answer 23

no, it will double 24 times
so its 2*2 *2 *2 *2 *2 *2 ....

Answer 24

wait

Answer 25

yes that was what I was thinking also

Answer 26

now im certain

Answer 27

\[N _{i}= 2\times 2^{24}?\]

Answer 28

2 to the 24th power

Answer 29

\[2^{24}\] try that

Answer 30

yes

Answer 31

yes mburk, just do that...

Answer 32

2 to the 24th power is... I think 1677216...

Answer 33

again, that is the simple solution that strips out the sophistication of a formula...

Answer 34

http://www.wolframalpha.com/input/?i=2^24

Answer 35

ohhhhhhh, Lol I get it

Answer 36

its meant to be a simple problem...

Answer 37

Yes

Answer 38

It says the same answer there

Answer 39

16777216

Answer 40

that's your introduction to exponents, exponential growth and root function

Answer 41

Cells are meant to do that...

Answer 42

Ok we've figured out the answer now I guess

Answer 43

yes, exponential growth, half-life, etc. are applicable in living things such as cells- particularly bacterial cells

Answer 44

Thanks that one stumped me.

Answer 45

Your welcome

Answer 46

Yeah at first I did not think about cells

Answer 47

How they mutliply

Answer 48

Exponentially*

Answer 49

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Answer 50

Thank you

Answer 51

I'll come back if there are any more problems with another question

Answer 52

Thanks for fanning me

Answer 53

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