Problem A

Deciding About Data

The Webb family is trying to decide on a new monthly internet plan. There are three choices:

Plan A: \(\$10\) for the first \(10\) GB of data, and each additional \(2\) GB costs \(\$5\).

Plan B: \(\$40\) for the first \(20\) GB of data, and each additional \(10\) GB costs \(\$10\).

Plan C: \(\$80\) for unlimited GB of data.

Note that for Plan A, additional data has to be purchased in \(2\) GB increments. Similarly, for Plan B, additional data has to be purchased in \(10\) GB increments.

After keeping track of data used, the family decides they will use between \(25\) GB and \(40\) GB of data each month. Which plan should the Webb family choose? Justify your answer.

**Themes:** Algebra, Number Sense