Question

the charge at a car park follows this rule : "the first house is free. Each hour or part thereof after is $2.50."Sketch the corresponding "ladder steps" function. State the continuity of this function.

Answer 1

The corresponding "ladder steps" function would look like this:

- Up to 1 hour: $0
- 1-2 hours: $2.50
- 2-3 hours: $5.00
- 3-4 hours: $7.50
- 4-5 hours: $10.00
- etc...

This function would be discontinuous at each hour mark, as the price jumps up by $2.50 at each hour increment.