Question

If you dont brush your teeth regularly, it wont take long for large colonies of bacteria to grow in your mouth. Suppose a single bacterium lands on your tooth and starts multiplying by a factor of 4 every hour.
a. Write an equation that describes the number of bacteria b in the new colony after n hours.
b. How many bacteria will be in the colony after 7 hours?

Answer 1

at time 0, population =1
at time 1 (hour), population =4
at time 2 (hours), population =16

number of bacteria = 4^time

After 7 hours,
population = 4^7
population = 16,384

Answer 2

i dont get it

Answer 3

@wolf1728

Answer 4

Here's a table of the population per unit of time.
Hour Population
0 1
1 4
2 16
3 64
4 256
5 1,024
6 4,096
7 16,384
8 65,536
9 262,144
10 1,048,576