At a temperature of 20 degree C the common amoeba reproduces by splitting in half every 24 hours. If we start with a single amoeba how many... will there be after (a) 8 days, (b) 16 days?
- print Print
- list Cite
Expert Answers
calendarEducator since 2009
write278 answers
starTop subjects are Math, Science, and Social Sciences
As long as there are sufficient nutrients, the amoeba will grow exponentially, splitting in two every 24 hrs. The equation for exponential growth is x = P B^(t/T), where P is the initial population, B is the factor by which a single elements grow, and T is the time period.
x = 1*2^(t/24)
So a) x = 2^8 = 256 amoeba
b) x = 2^16 = 65536 amoeba
Related Questions
- If an amoeba splits in two every two hours how many amoebas will there be after 24hours
- 1 Educator Answer
- The outdoor temperature was 8 degrees at midnight.The temperature declined 5 degrees during each...
- 1 Educator Answer
- In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by...
- 1 Educator Answer
- The half-life of sodiam-24 is 14.9 hours. A medical facility buys a 50-mg sample. How much...
- 1 Educator Answer
- A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a...
- 1 Educator Answer
After one day 1 amoeba by splitting in half becomes 2
After 2nd day by splitting into the 2 , the 2 amoeba become 2*2 = 2^2
Similarly after After 3rd day the number of them =4*2 = 8=2^3=2^3.
Generalising, the number of them after n days =2^n
So, after the 8th day, by splitting process the number of amoeba =2^8 = 256
After 16 days the number of amoeba =2^16 = 65536
Student Answers