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The population of a bacteria colony increased by p% each day for 4 days in a row.The final population after 4 days was 5.0625 times the original population. What is p?

 Feb 20, 2021
 #1
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x = original  population

 

5.0625 x = x (1 + p/100)4          We can remove 'x' form the equation ...included only for clarity

5.0625 = (1+ p/100)^4             take fourth root of both sides   (you could also use LOGs if you know what those are cheeky )

1.5 = 1 + p/100

.5 = p /100                     p = 50 %

 Feb 20, 2021
 #2
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can u explain why 1+p/100

 thanks

Guest Feb 22, 2021

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