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

$6\times 2^{x-1}=48$

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 ,

$ar^{x-1}=48\\\\6\times 2^{x-1}=48\\\\2^{x-1}=\frac{48}{6}\\\\2^{x-1}=8\\\\2^{x-1}=2^3\\\\x-1=3\\\\x=4$

So, our required equation will be

$6\times 2^{x-1}=48$