Summary
Highlights
The video starts with an example of a mobile plan: 300 pesos monthly for 100 free text messages, and 1 peso per message in excess of 100. The instructor explains how to represent this cost as a piecewise function, 'm' being the number of messages.
The next example involves a catering service with varying prices per head based on the number of attendees. For 20 persons or less, it's 150 pesos per head; for 21 to 50 persons, 130 pesos per head; for 51 to 100 persons, 110 pesos per head; and for 100 or more, it's 100 pesos per head. The video demonstrates representing this total cost as a piecewise function.
This section explains how to calculate weekly pay for a summer job that offers time and a half for overtime (more than 40 hours per week). The normal hourly wage is 30 pesos. The video constructs a piecewise function that gives the weekly pay based on hours worked and then calculates the pay for 45 hours worked.
The final example models the charges of an internet cafe: a flat rate of 15 pesos for the first hour and an additional 5 pesos for every excess hour. The lesson describes how to build a mathematical model (a piecewise function) for the total charged based on the total number of hours played.