Answer: [tex]0.8[/tex] pages per hour.
Step-by-step explanation:
For this exercise it is important to know that, by definition, Direct variation equations have the following form:
[tex]y=kx[/tex]
Where "k" is the constant of variation.
Therefore, it is a straight line that passes through the origin.
In this case, given the graph attached in the exercise, you can follow these steps in order to find the constant of variation:
Step 1: You need to choose any point on the line. Let's choose the point (5,4).
Step 2: Now you must ubstitute the coordinates of that point into [tex]y=kx[/tex]. Then:
[tex]4=k(5)[/tex]
Step 3: Finally, you must solve for the Constant of variation "k", in order to find its value. Therefore, you get that this is:
[tex]k=\frac{4}{5}\\\\k=0.8[/tex]
