A teacher grades 27 tests in 3 hours. Find the conastant of variation.

To find the constant of variation, we need to determine the relationship between the number of tests graded and the amount of time it takes.

Let's assume that the number of tests graded (N) is directly proportional to the amount of time it takes (T).

Therefore, we can write the equation: N = k * T

Where N is the number of tests, T is the amount of time, and k is the constant of variation.

Given that the teacher grades 27 tests in 3 hours, we can substitute these values into the equation to find the constant of variation.

27 = k * 3

To solve for k, we divide both sides of the equation by 3:

k = 27 / 3

k = 9

Therefore, the constant of variation is 9.