Table
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X / Y
2.6|-6
3.2|3
Determine the rate of change of the linear function given as a table of values.
To determine the rate of change of the linear function, we first need to calculate the slope of the line passing through the points in the table.
Using the formula for slope (m) = (Y2 - Y1) / (X2 - X1):
m = (3 - (-6)) / (3.2 - 2.6)
m = 9 / 0.6
m = 15
Therefore, the rate of change of the linear function is 15. This means that for every unit increase in the independent variable (X), the dependent variable (Y) increases by 15 units.