Exponential model for video views — The Screaming Salamanders (initial 2,642 views)

Write an exponential equation y = a(b)^x modeling The Screaming Salamanders' music video views, given 2,642 views at public release and 3,963 views one day later.

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We want a model of the form y = a(b)x, where x = 0 corresponds to the moment the video was released to the public.

  1. At x = 0 the number of views is a = 2,642.
  2. One day later (x = 1) the views are 3,963, so the daily growth factor is b = 3963 / 2642.
  3. Compute the ratio: 3963 ÷ 2642 = 1.5 = 3/2.

Therefore an exponential model is

y = 2642(3/2)x = 2642(1.5)x

(Here y is the total number of views x days after the video was released to the public.)

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