Question

A strain of bacteria doubles every 14 h. If there are 100 bacteria cells to start with in a colony, how many will there be in 7 days?

Answer 1

${\rm{\underline{\underline{Question:-}}}}$

→ A strain of bacteria doubles every 14 h. If there are 100 bacteria cells to start with in a colony, how many will there be in 7 days?

${\rm{\underline{\underline{Given:-}}}}$

→ A strain of bacteria doubles in 14 h

→ There are 100 bacteria cells to start with in a colony

${\rm{\underline{\underline{To \; Find :-}}}}$

→ how many bacterial cells will be there in 7 days ?

${\rm{\underline{\underline{Solution :-}}}}$

→ We start with 100 cells, so a = 100

→ We double, so common ratio= 2

→ The formula will be

$\sf \rightarrow 100 \times 2^{n} \\\\where \; a = 100 \\\\\; \; \; \; n = time$

→ Time = 7 days = 168 hours

which is 12 periods of 14 hrs , So the no. doubles 12 times

$\sf \rightarrow 100 \times 2^{12}$

Answer 2

Answer:

Answer in attachment...

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