Question

Katelyn is shopping for a cellular phone service. Trenton bell charges a monthly fee of $40 for up to 500 minutes. For every minute over 500 there is an $0.18 charge. Write a piecewise function to represent the cost of this plan

Answer 1

For this case, the first thing we must do is define variables.
We have then:
x: number of minutes.
y: total cost.
We then have a function for two different intervals.
These intervals are:
For
`0 \leq x \leq 500`:

`y = 40`
For
`x\ \textgreater \ 500`:

`y = 0.18x + 40`