Question

An amoeba divides to form two amoebas after one hour. One hour later, each of the two

amoebas divides to form two more. Every hour, each amoeba divides to form two more.
1. How many amoebas are there after 1 hour?
2. How many amoebas are there after 2 hours?
3. Write an expression for the number of amoebas after 6 hours.

Answer 1

Explanation:

Given that the number of amoeba is 1

in 1 hour it divides to form 2

1 hour later (2 hours): 1 amoeba(forms 2), 1 amoeba(forms 2)= 4

1 hour again(3 hours): 1=2,1=2,1=2,1=2 hence a total of 8 after 3 hours

Question and answers

1. How many amoebas are there after 1 hour

=2 amoebas

2. How many amoebas are there after 2 hours

=4 amoebas

3. Write an expression for the number of amoebas after 6 hours.

let the number of amoeba be y, and the time be n

so in 6 hours n= 6

`y=2^n`

`y= 2^6\\\\y= 64 amoebas`