Understanding Piecewise Functions in Internet Charges

The video tutorial explains a word problem involving piecewise functions related to internet charges. It details how to define a piecewise function for an internet company's pricing model, where the first 30GB costs $25, and each additional GB costs $1.75. The tutorial then demonstrates how to calculate the total charge for usage over 30GB and solve for the number of gigabytes used if the charge is $63.50. The video concludes with a channel promotion.

What type of mathematical function is used to model the internet charges in the problem?

• Exponential function

• Linear function

• Quadratic function

• Piecewise function

How much does the internet company charge for the first 30 gigabytes?

• $20

• $25

• $30

• $35

What is the cost per gigabyte after the initial 30 gigabytes?

• $2.00

• $1.50

• $2.25

• $1.75

In the piecewise function, what does the expression 'X - 30' represent?

• Total charge for all gigabytes

• Fixed charge for 30 gigabytes

• Gigabytes used beyond 30

• Total gigabytes used

If a customer is charged $63.50, how many gigabytes did they use?

• 50 gigabytes

• 45 gigabytes

• 52 gigabytes

• 40 gigabytes

What is the main purpose of using a piecewise function in this context?

• To model different charging rates based on usage

• To determine the fixed monthly charge

• To calculate the total data usage

• To find the maximum data limit