Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the time in minutes
y ---> the number of words reading
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem, the relationship between x, and y, represent a proportional variation
The linear equation is equal to
[tex]y=kx[/tex]
where
k is the constant of proportionality or the reading rate in words per minute
therefore
The student who reads fastest is the one whose equation has the highest proportionality constant or whose graph has the steepest line slope
Example
If you have
[tex]y_1=23x\\y_2=35x\\y_3=50x\\y_4=20x[/tex]
The student who reads fastest is the number 3
Because the value of k=50 words/minute is greater
