Question

You have used 3 GB of data already this month, and every time you stream your favorite Netflix show you use up another 2 GB of data. What is the domain and range written as an inequality?

a) Domain: (x ≥ 0), Range: (y ≥ 3)
b) Domain: (x ≥ 3), Range: (y ≥ 0)
c) Domain: (x ≥ 0), Range: (y ≥ 2)
d) Domain: (x ≥ 2), Range: (y ≥ 0)

Answer 1

The question pertains to finding the domain and range of a function describing data usage from streaming shows. The correct domain is all non-negative integers (x ≥ 0), while the correct range is the total data usage starting at 3 GB and increasing by 2 GB with each stream (y ≥ 3), corresponding to choice (a).

Step-by-step explanation:

This mathematics question involves understanding domain and range in the context of a function relating to data usage. Since you begin with 3 GB of data used, that is the starting point of your total data usage. The domain here refers to the number of times you stream your favorite show, which can be any non-negative integer, including zero (you could choose not to stream at all).

Hence, the correct domain would be all non-negative integers starting from zero, expressed as x ≥ 0. The range, on the other hand, is the total data used. Each streaming uses 2 GB more data. Therefore, the range starts from 3 GB (when you haven't streamed any shows) and increases by 2 GB with each stream. So the range would be y ≥ 3. This corresponds to choice (a). You can also use an inequality symbol to express the relationship between two metric measurements.