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Home > PC3 > Chapter 8 > Lesson 8.3.1 > Problem 8-93

8-93.
  1. When a news story breaks, it can generate a lot of interest, but it does not take long before another story diverts that interest. At right is a graph depicting the number of daily views for a news story about Syria and the United Nations. Homework Help ✎

    1. Write an equation to model the situation.

    2. If this model is typical of how interest declines for a news story, what is the half-life of interest in the story?

    3. Write an equation that models this phenomenon for any initial value of views (I).

This is exponential decay. Write an equation of the form y = a·bx.

Since there are 3600 initial views, determine how long until there are 1800 views.

See the hint in part (a). Then let a = I.