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

8-93.

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 ✎

Write an equation to model the situation.

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

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*·*b ^{x}*.

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

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