Question

The number of fruit flies in a population doubles everyday. Everett collected 6 fruit flies for an experiment. After a certain number of days, the colony had grown to 48 fruit flies. Write a linear equation using the information above. Use x as a varible.

Answer 1

Answer: So, our required linear equation will be

`6* 2^(x-1)=48`

Step-by-step explanation:

Since we have given that

the number of fruit flies = 6

According to question, we have that the number of fruit flies in a population doubles everyday,

it becomes geometric progression, as it rises with common ratio, i.e.

`6,12,24.......`

Let the number of days be x

so, our required equation becomes ,

`ar^(x-1)=48\\\\6* 2^(x-1)=48\\\\2^(x-1)=(48)/(6)\\\\2^(x-1)=8\\\\2^(x-1)=2^3\\\\x-1=3\\\\x=4`

So, our required equation will be

`6* 2^(x-1)=48`