A recent trend in advertising is viral marketing. The goal is to convince viewers to share an amusing advertisement by e-mail or social networking. Imagine that the video is sent to 130 people on day 1. Each person agrees to send the video to 4 people the next day, and to request that each of those people send it to 4 people the day after they receive it. The number of viewers V(n) is an exponential function of the number n of days since the video was first shown.

Respuesta :

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Given:
Day 1: 130 
Day 2: 130 x 4 = 520
Day 3: 520 x 4 = 2,080

The exponential equation of this problem is:
V(n) = 130(4)^n

Where n is the number of days since the video was first shown.

Let us assume that 10 days have past. Total view would be:

V(n) = 130(4)^n

V(10) = 130(4)^10
V(10) = 130(1,048,576)
V(10) = 136,314,880

After 10 days, there are more than 136 Million views of the viral video.