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1) Which function reflects a greater rate of change, the table below or the graph on the right?

2) The equation y = 2.2x was compared to the table and graph in question #1. How does the equation's rate of change compare to that of the table and graph? 4 3 2​

1) Which function reflects a greater rate of change, the table below or the graph-example-1
User Tejinderss
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1 Answer

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1) Comparing the slopes, the graph has a greater rate of change or slope than the table.

2) Comparing the slopes, the graph has a greater rate of change or slope than the equation y = 2.2x and the table.

The rate of change of a linear function is the slope of the line.

The equation y = 2.2x has a slope of 2.2.

To find the slope of the line in the table, we can use the formula:

slope = (y2 - y1)/(x2 - x1)

Using the values from the table, we get:

slope = (16 - 4)/(9 - 0)

= 12/9

= 4/3 = 1.333

To find the slope of the line in the graph, we can estimate the rise and run of the line.

From the graph, we can see that the line passes through the points (2, 5) and (2, 1).

The slope = rise/run = 3/1 = 3

Therefore, the rise is 3 and the run is 1, which gives a slope of 3.

Thus, comparing the slopes, we can see that the graph has a greater rate of change or slope than the equation y = 2.2x and the table.

User Karim N Gorjux
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