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

Step-by-step 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

question:

could we have options?

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)