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In a lab experiment, 490 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 8 hours, to the nearest whole number?


Sagot :

Answer:

593

Step-by-step explanation:

[tex]490(2)^8^/^2^9 = 593.25[/tex]

593.25 ≈ 593

The number of bacteria after 8 hours is 593.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Number of bacteria placed in petri dish = 490

Time required for bacteria to double = 29 hours

Number of bacteria after 8 hours is

⇒ [tex]490(2)^{\frac{8}{29} }[/tex]

⇒ [tex]490(2)^{0.2758}[/tex]

⇒ [tex]490(1.2107)[/tex]

⇒ [tex]593.25149[/tex]

⇒ [tex]593[/tex]

Hence  we can conclude that the number of bacteria after 8 hours is 593.

Learn more about word problems here

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