Question

the table compares the daily average temperature in a park (in degrees celsius) and the number of people who visited the park that day.
can the number of people who visited the park be represented as a function of the daily average temperature?
daily temperature (degrees celsius) number of visitors
12 10
16 27
11 17
16 27
15 18
17 32
8 6
11 17
choose 1 answer:
a yes
b no

Explanation:

Step1: Recall Function Definition

A function is a relation where each input (independent variable, here: daily temperature) has exactly one output (dependent variable, here: number of visitors).

Step2: Check Temperature-Visitor Pairs

• Temperature 12: 10 visitors (one output)
• Temperature 16: 27 visitors (one output, repeated but same)
• Temperature 11: 17 visitors (one output, repeated but same)
• Temperature 15: 18 visitors (one output)
• Temperature 17: 32 visitors (one output)
• Temperature 8: 6 visitors (one output)

Each temperature (input) maps to only one number of visitors (output). Repeated inputs with same outputs are allowed in functions.

Answer:

A. Yes