Question

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

​
​What is the constant of variation?
​Type your answer as a decimal.
pages per hour.

Answer 1

Answer:
`0.8` pages per hour.

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=(4)/(5)\\\\k=0.8`