On a day, a video was posted online, 5 people watched the video. The next day the number of viewers had doubled. This tend conti
nues each day. Write an equation modeling the views, v, as a function of time. What would be the day when more than 20,000 people will see the video
1 answer:
Answer:
Day 13
Step-by-step explanation:
The question can be represented with a geometric sequence
Where,
a = 5
Common ratio , r = 2
v(t) = a * r^(t - 1)
v(t) = 5 * 2^(t-1)
20,000 = 5 * 2^(t-1)
Divide both sides by 5
20,000 / 5 = 5 * 2^(t-1) / 5
4,000 = 2^(t-1)
2^12 = 2^(t-1)
12 = t - 1
12 + 1 = t
t = 13 days
What would be the day when more than 20,000 people will see the video
Check:
v(t) = 5 * 2^(t-1)
= 5 * 2^(13-1)
= 5 * 2^12
= 5 * 4,096
= 20,480
Therefore,
The day when more than 20,000 people will see the video is day 13
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