Question

The postal service charges $2 to ship packages up to 5 ounces in weight, and $0.20 for each additional ounce up to 20 ounces. After that, they charge $0.15 for each additional ounce. What is the domain of this relation?

A. x is greater than or equal to 2
B. x is greater than or equal to 0
C. 2 is less than or equal to x which is less than or equal to 9.5
D. x is less than or equal to 50

Answer 1

The domain of this relation is x is greater than or equal to 0.

Step-by-step explanation:

The domain of a relation refers to the set of input values or numbers that are valid for the relation. In this case, the relation represents the cost of shipping packages based on their weight. The given information states that the postal service charges $2 for packages up to 5 ounces, and $0.20 for each additional ounce up to 20 ounces. After that, they charge $0.15 for each additional ounce.

1. We can determine the domain by finding the range of valid weights for the relation.
2. From the given information, we know that packages up to 5 ounces are valid. This means that the domain starts at 0 ounces and includes everything up to 5 ounces.
3. Additionally, the relation charges $0.20 for each additional ounce up to 20 ounces, so the domain also includes the range from 5 ounces to 20 ounces.
4. Finally, after 20 ounces, the relation charges $0.15 for each additional ounce. This means that the domain continues indefinitely beyond 20 ounces.
5. Therefore, the domain of this relation is x is greater than or equal to 0.