Marie posted a dance video online that received 25,000 views today. However, the popularity of her video has peaked; going forward, it will get 40% fewer views each day than the day before. Which equation can Marie use to find t, the number of days until her video is viewed only 5,400 times in a day?
Question
Marie posted a dance video online that received 25,000 views today. However, the popularity of her video has peaked; going forward, it will get 40% fewer views each day than the day before. Which equation can Marie use to find t, the number of days until her video is viewed only 5,400 times in a day?
Solution
The equation that Marie can use to find t, the number of days until her video is viewed only 5,400 times in a day is:
5400 = 25000 * (0.6)^t
Here's how we get this equation:
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We know that the video received 25,000 views today.
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We also know that the number of views decreases by 40% each day. This means that each day, the video gets 60% (or 0.6) of the views it got the previous day.
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We want to find out when the video will be viewed only 5,400 times in a day.
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So, we set up the equation 5400 (the desired number of views) equals 25000 (the initial number of views) times 0.6 (the daily decrease in views) to the power of t (the number of days).
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This gives us the equation 5400 = 25000 * (0.6)^t.
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