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Jordana drew the function below. Which statement correctly explains whether or not her function is linear?

A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.

User Otm
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Final answer:

Jordana's function is linear if it has a graph that is a straight line, which indicates it has a constant rate of change or a constant slope. Hence, the correct statement is A. It is linear because it has a constant rate of change.

Step-by-step explanation:

To determine whether Jordana's function is linear, we should look at the characteristics of a linear function. A linear function has a graph that is a straight line, which means it has a constant rate of change. This constant rate of change is also known as the slope of the line. If Jordana's function has a constant slope (rate of change), then her function is indeed linear.

Therefore, the correct statement is: A. It is linear because it has a constant rate of change. The constant rate of change implies that as you move along the line, the function's output changes by a fixed amount for each unit increase in the input. This constant change results in a straight-line graph.

User Dymanoid
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