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]