Rates are used to show how a quantity measures over another.
Andy does not read at a constant rate.
The table is given as:
[tex]\left[\begin{array}{cccccc}x&10&20&30&40&50\\y&4&9&10&15&20\end{array}\right][/tex]
Pick any two points from the table:
[tex](x_1,y_1) = (10,4)[/tex]
[tex](x_2,y_2) = (20,9)[/tex]
The rate (m) is then calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{9-4}{20-10}[/tex]
[tex]m = \frac{5}{10}[/tex]
[tex]m = 0.5[/tex]
Pick another point from the table
[tex](x_1,y_1) = (10,4)[/tex]
[tex](x_2,y_2) = (30,10)[/tex]
The rate (m) is then calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{10 - 4}{30 - 10}[/tex]
[tex]m = \frac{6}{20}[/tex]
[tex]m = 0.3[/tex]
The rates calculated are not equal
i.e. 0.3 and 0.5 are not equal
This means that;
Andy does not read at a constant rate.
Read more about rates at:
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