A Computer Shop Charges P20.00 Per Hour (Or A Fraction Of An Hour) For The First, Two Hours And An Additional P10.00 Per Hour For Each Succeeding Hour

A computer shop charges P20.00 per hour (or a fraction of an hour) for the first

two hours and an additional P10.00 per hour for each succeeding hour. Find

how much you would pay if you used one of their computers for:

(a) 40 minutes

 

Answer:

If the usage is 40 minutes, it is a fraction of an hour.

The total cost is Php20.

Step-by-step explanation:

Piecewise function:

f(x) = 20  where 0 ≤ x ≤ 2 hours

This means that a computer shop charges Php20 for every hour or a fraction of an hour where even if the usage is only 10 minutes, 15, minutes or 50 minutes, the charge is flat rate of Php 20. This unit cost is only up to 2 hours.

If the usage is more than two hours, there will be an additional of Php10 per hour or succeeding hour:

f(x) = 20 + 10(x-2)  where x > 2 hours

Example:

If the usage is 3 hours, the total charges:

f(3) = 20 + 10 (3-2)

f(3) = 20 + 10(1)

f(3 hours) = Php30

If the usage is 40 minutes, it is a fraction of an hour. The total cost is Php20.