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?

wiseowl Feb 20, 2021

#1**+1 **

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 )

1.5 = 1 + p/100

.5 = p /100 p = 50 %

ElectricPavlov Feb 20, 2021