The rate of change of a linear dataset is the slope of the dataset
The rate of change of the table is 2.25, and it means that the amount you keep daily is $2.25
From the table, we have the following points
(x,y) = (4,6) (5,8.25)
The rate of change is then calculated as:
[tex]\mathbf{Rate = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
Substitute values for x and y
[tex]\mathbf{Rate = \frac{8.25 - 6}{5 - 4}}[/tex]
Simplify the numerator and the denominator of the fraction
[tex]\mathbf{Rate = \frac{2.25}{1}}[/tex]
Divide
[tex]\mathbf{Rate = 2.25}[/tex]
Hence, the rate of change of the table is 2.25, and it means that the amount you keep daily is $2.25
Read more about rates of change at:
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