Question

there are 60 minutes in an hour. the total number of minutes is a function of the number of hours, as shown in the table. does this situation represent a linear or non-linear function, and why?

hours vs. minutes
hours | minutes
1 | 60
2 | 120
3 | 180
4 | 240
5 | 300

• it represents a linear function because there is a constant rate of change.
• it represents a linear function because there is not a constant rate of change.
• it represents a non-linear function because there is a constant rate of change.
• it represents a non-linear function because there is not a constant rate of change.

Explanation:

Analyze the rate of change

Using the Rate of Change knowledge point

$$
LATEXBLOCK0
$$

Determine the function type

A function with a constant rate of change is linear. Since the rate of change is constantly \(60\) minutes per hour, the function is linear.

Answer:

• (A) It represents a linear function because there is a constant rate of change. (Correct answer)
• (B) It represents a linear function because there is not a constant rate of change.
• (C) It represents a non-linear function because there is a constant rate of change.
• (D) It represents a non-linear function because there is not a constant rate of change.