P is a linear function represented by the equation y=2x-3

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 linear function has a negative rate of change, we need to analyze the slope (rate of change) of each function.

1. Function P: The equation is given as \(y = 2x - 3\).

   • The slope (rate of change) is 2, which is positive.

2. Function Q: To determine the slope of Function Q, we need to look at the ordered pairs in the table. However, since you did not provide the table with the ordered pairs for Function Q, let's consider the general approach:

   • If the y-values of Function Q decrease as the x-values increase, then it has a negative rate of change.
   • If the y-values of Function Q increase as the x-values increase, then it has a positive rate of change.

Since we do not have the actual data for Function Q, we cannot definitively assess its rate of change. However, we can conclude the following:

• Function P has a positive rate of change.
• Without the ordered pairs for Function Q, we cannot determine its rate of change.

Therefore, based on the information provided, the answer is that Function P only has a positive rate of change. The conclusion about Function Q remains unknown without additional information. If Function Q had been given as declining (negative slope), then the answer would have included Function Q.

Final conclusion:

• Function P only has a positive rate of change, and we cannot definitively say about Function Q without seeing its data.