URGENT!!!! PLEASE!!!! HELP!!!!!

Raul created a graph to show the number of pages he read over a period of time.

Raul claims his graph shows a proportional relationship because the data forms a straight line.
He also claims his graph shows he read 1.5 pages per minute.

Are rauls claims correct? Justify your reasoning.
Write an equation to represent the data in the graph.

URGENT PLEASE HELP Raul created a graph to show the number of pages he read over a period of time Raul claims his graph shows a proportional relationship becaus class=

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Answer:

Raul's claims are not correct

The equation of the graph is [tex]y=\frac{10}{15}x[/tex]

Step-by-step explanation:

Part a)

we know that

The fact that the data form a straight line does not imply that it is a proportional relationship. In order for it to be a proportional relationship, in addition to the fact that a straight line must be formed, it must pass through the origin.

In this problem the graph shows a proportional relationship because the data forms a straight line and passes through the origin (0,0)

therefore

The claim that the graph shows a proportional relationship because the data forms a straight line is not correct

Part B)

Find the slope of the straight line

Let

[tex]A(0,0),B(15,10)[/tex]

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute the values

[tex]m=\frac{10-0}{15-0}[/tex]

[tex]m=\frac{10}{15}=0.67\frac{pages}{minute}[/tex]

therefore

The claim that he reads 1.5 pages per minute is not correct

Part C)

The equation of the graph is equal to

[tex]y=\frac{10}{15}x[/tex]