A bacterial culture quadruples in size every hour. You begin observing the numbe

Dottie Parra

Dottie Parra

Answered question

2021-09-21

A bacterial culture quadruples in size every hour. You begin observing the number of bacteria 3 hours after the culture is prepared. The amount x of bacteria x hours after the culture is prepared represented by y=192(43). When will there be 200.000 bacteria? It fo;;ows the equation y=192(4)x3

Answer & Explanation

izboknil3

izboknil3

Skilled2021-09-22Added 99 answers

Calculation:
The 200000 represents the value of y. Plug in y as 200000 then solve it for x.
Solve the equation for x.
Divide both sides by 192.
1041.6667=(4)x3
Now, take log on both sides
log(1041.6667)=log(4)x3
Divide both sides by log 4
5.0123=x3
Add both sides 3.
8.0123=x
Conclusion:
Approximately after 8 hours, the bacteria culture became 200,000.

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