Question

jerry has a part time job at a supermarket. the ordered pairs show the number of hours he worked (the input values) and the number of dollars (the output values) he earned over a five - week period. (6, 72), (8, 96), (5.5, 66), (9, 108), (7, 84) use the information about jerry’s earnings to answer exercises 1 - 3. 1. are the ordered pairs a relation? why or why not? 2. complete the arrow diagram to match each input value to its output value. (there is an image of an arrow diagram with left oval having 6, some blank boxes, 9, a blank box; right oval having 72, 96, 66, a blank box, 84. the 6 is connected to 72, and there are other blank connections.)

Explanation:

1. A relation is defined as any set of ordered pairs that relate input (domain) and output (range) values. The given set fits this definition.
2. Match each input hour value to its corresponding earnings from the provided ordered pairs: (8,96), (5.5,66), (9,108), (7,84).

Answer:

1. Yes, the ordered pairs are a relation. By definition, any set of ordered pairs that connects inputs to outputs is a relation.

2.

• Left oval (inputs, empty boxes top to bottom): 8, 5.5, 7
• Right oval (outputs, empty box): 108
• Arrow mappings:

8 → 96
5.5 → 66
7 → 84
9 → 108