8. The table shows how many pages Andy reads. Does Andy read at a
constant rate? Explain.
20
30
40
10
50
Time (min), x
9
4
10.
15
20
Pages, y
34

Respuesta :

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:

https://brainly.com/question/13103052