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Which statement about the scenario represented in the table is true? Assume time is the independent variable.
The distance run is a nonlinear function because it does not have a constant rate of change.
The elevation is a nonlinear function because it does not have a constant rate of change.
Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.
Both the distance run and the elevation are linear functions because they have a constant rate of change.

Which statement about the scenario represented in the table is true? Assume time is the independent variable. $\newline$ The distance run is a nonlinear function because it does not have a constant rate of change. $\newline$ The elevation is a nonlinear function because it does not have a constant rate of change. $\newline$ Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change. $\newline$ Both the distance run and the elevation are linear functions because they have a constant rate of change.

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Identify discrete and continuous random variables

Full solution

Q. Which statement about the scenario represented in the table is true? Assume time is the independent variable.

\newline

The distance run is a nonlinear function because it does not have a constant rate of change.

\newline

The elevation is a nonlinear function because it does not have a constant rate of change.

\newline

Both the distance run and the elevation are nonlinear functions because they do not have constant rates of change.

\newline

Both the distance run and the elevation are linear functions because they have a constant rate of change.

Analyze Distance Rate: Step $1$ : Analyze the statement about the distance run. Check if the rate of change of distance with respect to time is constant. If the rate changes, the function is nonlinear.
Analyze Elevation Rate: Step $2$ : Analyze the statement about the elevation. Check if the elevation changes at a constant rate with respect to time. A varying rate indicates a nonlinear function.
Compare Changes: Step $3$ : Compare both the distance and elevation changes. If both have varying rates of change, they are both nonlinear.
Identify Linearity: Step $4$ : If both distance and elevation change at constant rates, they are linear functions.

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