Question

select the correct answer.
ronnie took a survey of eight of his classmates about the number of siblings they have and the number of pets they have. a table of his results is below.

# of siblings	3	1	0	2	4	1	5	3

which of the following does ronnie’s data represent?

a. a relation only
b. a function only
c. neither a relation nor a function
d. both a function and a relation

Explanation:

Step1: Recall definitions of relation and function

A relation is a set of ordered pairs. A function is a relation where each input (x - value) has exactly one output (y - value). Here, let the number of siblings be the input (x) and the number of pets be the output (y). The ordered pairs are: (3, 4), (1, 3), (0, 7), (2, 4), (4, 6), (1, 2), (5, 8), (3, 3).

Step2: Check if it's a relation

Since it's a set of ordered pairs, it is a relation.

Step3: Check if it's a function

For a function, each x - value must have only one y - value. Here, x = 1 has y = 3 and y = 2; x = 3 has y = 4 and y = 3. So, it is not a function.

Answer:

A. a relation only