P is a linear function represented by the equation

Question

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Q is another linear function that includes the ordered pairs shown in the table below.

Which of these linear functions has a negative rate of change?
Function P only
Function Q only
both Function P and Function Q
neither Function P nor Function Q

Answer 1

To determine which of the linear functions has a negative rate of change, we need to analyze their slopes.

1. Function P: The equation for this function wasn't provided in your message, but generally, if the slope (rate of change) of the linear function is negative (the coefficient of x in the equation is negative), then it has a negative rate of change.

2. Function Q: We can assess this by examining the ordered pairs in the table you mentioned (though you didn't provide the actual table). To find the rate of change, we can calculate the slope using any two points \((x_1, y_1)\) and \((x_2, y_2)\) from the ordered pairs using the formula:

   \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]

   If the resulting slope is negative, then Function Q has a negative rate of change.

Since I don't have the specific equations or the ordered pairs, I can't provide a conclusive answer. However, you can determine the negative rate of change by finding the slopes as described above.

After you review the linear functions in question and find their slopes, use the following criteria:

• If P has a negative slope and Q has a negative slope, then the answer is both Function P and Function Q.
• If only P has a negative slope, the answer is Function P only.
• If only Q has a negative slope, the answer is Function Q only.
• If neither has a negative slope, the answer is neither Function P nor Function Q.

Please feel free to provide the details for further analysis!