An internet company charges ₱500.00 for the first 30 GB used in a month. Every exceeding GB will then cost ₱30.00 . But if the costumer reach a total of 50 GB and above, a flat rate of ₱1,000.00 will be charged instead. Write piecewise function C(g) that represents the charge according to GB used?

Answer

anonymous

Answer plss.

To write a piecewise function C(g) that represents the charge according to the GB used, we need to consider the different scenarios mentioned in the question.

Let's break it down:

1. For the first 30 GB used:
The charge is a fixed amount of ₱500.00, regardless of the actual GB used.
Therefore, this can be written as:
C(g) = ₱500.00, for 0 <= g <= 30

2. For GB usage exceeding 30 GB but less than or equal to 50 GB:
Each exceeding GB costs ₱30.00 in addition to the initial charge for the first 30 GB.
So, for 30 < g <= 50, the charge can be calculated as:
C(g) = ₱500.00 + (g - 30) * ₱30.00

3. For GB usage reaching 50 GB and above:
Once the usage reaches 50 GB or more, a flat rate of ₱1,000.00 will be charged instead.
So, for g > 50, the charge can be set as a constant value:
C(g) = ₱1,000.00, for g > 50

Therefore, the piecewise function can be written as follows:

C(g) = ₱500.00, for 0 <= g <= 30
C(g) = ₱500.00 + (g - 30) * ₱30.00, for 30 < g <= 50
C(g) = ₱1,000.00, for g > 50