Question

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

Answer 1

9

Explanation:

Since you know that there are 27 tests every three hours then you can divide 27 by 3 to get the constant variation or "test per hour". So then, 27 divided by 3 is 9.

Answer 2

9

Explanation:

Step one:

given

Let the number of tests graded be g = 27

time taken t = 3 hours

Required

The constant relating the time and the number of tests

Step two:

"The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another."

so that the direct variation is

g∝kt

g=t/k

k= g/t

k=27/3

k=9