Question

On the day a video was posted online, 5 people watched the video. The next month the number of viewers had doubled. Assume the number of viewers continues to double each day.

1 .How many viewers will be there in one year? Use commas. Explain or show your reasoning.

2. Estimate on which day will 640 people see the video? Explain or show your reasoning.

Answer 1

There will be
`2.8240139587 * 10^(220)` viewers in 1 year

640 people will see the video on 7th day

Explanation:

On the day a video was posted online, 5 people watched the video.

Initial viewers = 5

The next month the number of viewers had doubled.

Assume the number of viewers continues to double each day.

Formula:
`y=ab^x`

Where a is the initial amount

b is the rate

t is time in days

1) We are supposed to find the no. of viewers in 1 year

1 year =
`2 * 365 = 730 days`

So,
`y=5(2)^(730)=2.8240139587 * 10^(220)`

2)Estimate on which day will 640 people see the video?

So, y = 640

So,
`640 =5(2)^t`

`128=2^t`

`2^7 = 2^t`

So, t = 7

Hence 640 people will see the video on 7th day