Answer:
y = 25x, proportional relationship
Step-by-step explanation:
Let "x" = number of hours read (replace with "h" if that's the variable your teacher wants)
Let "y" = number of pages read (you can use any other variables if you want)
Let's first calculate the slope using [tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}}[/tex] with any two points, I'm going to use (2, 50) and (3, 75):
[tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}} = \frac{50 - 75}{2 - 3} = \frac{-25}{-1} = 25[/tex]
Our slope is m = 25.
Now we can use the point-slope form [tex]y-y_{1} = m(x-x_{1})[/tex] with our slope and any point (I'll use (2, 50)) to figure out the equation:
[tex]y-y_{1} = m(x-x_{1}) \\ y-50 = 25(x-2)[/tex]
Simplify:
[tex]y-50 = 25(x-2)\\y-50 = 25 x -50\\ y = 25x[/tex]
Since the slope is positive, the relationship is proportional.
