Question

This graph shows how the length of Karen's essay depends on the number of hours she spends writing this week.

Answer 1

Answer: $0.8$ 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:

$y=kx$

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  $y=kx$. Then:

$4=k(5)$

Step 3: Finally, you must solve for the Constant of variation "k", in order to find its value. Therefore, you get that this is:

$k=\frac{4}{5}\\\\k=0.8$