Question

A phone company charges its customers as follows:
For the first 500 minutes used each month, the customer is charged a flat rate of $50. These 500 minutes are "included" in their monthly plan.
For any additional minutes used, the customer is charged an additional $.10 per minute.

Which type of function would best model this situation: a greatest integer function or a piecewise function that is not a greatest integer function? Explain

Answer 1

@ganeshie8

Answer 2

\(
f(x) =
\begin{cases}
50, & \text{if } x \le 500 \\
50 + 0.1(x-500), & \text{if }x \gt 500a
\end{cases}
\)

Answer 3

@ganeshie8 thank you

Answer 4

np :) clearly we need a piecewise function that is not a greatest integer function because the phone bill can be in cents also... for example, if u have used 501 minutes, f(x) will be 50+0.1(501-500) = 50.1. which is clearly not an integer. so you need a piecewise function which is not a greatest integer funciton