Question

What is the constant of variation in the graph below?

A graph is shown that has the following points plotted: two comma thirty-six, three comma twenty-four, four comma eighteen, and six comma twelve.

72

36

18

8

Answer 1

Calculate the constant of each relationship and explain how you arrived at your answer.
CONSTANT OF EACH RELATIONSHIP: Consider the given values
one comma twelve, two comma six, three comma four, and four comma three.
or
(1,12) (2,6) (3,4) (4,3)
Looking at the first value in each pair, you can see that
it increases by one each time

Answer 2

So try it with those

Answer 3

@steven101987 ok

Answer 4

@steven101987 now what?

Answer 5

what did you get?

Answer 6

@steven101987 I dont understand what Im doing >.<

Answer 7

Hmm... i just don't want to give you the answer straight up you know.. i just don't know how to explain it to you another way..

Answer 8

oh sorry i gotta go hope jdoe can help

Answer 9

@steven101987 k ty

Answer 10

notice as "x" moves to the right, "y" moves downward

that means as "x" increases, "y" is decreasing
that means " y is INVERSELY VARYING with x", by some quantity, so-called the "constant of variation"
so that means \(\bf y = \cfrac{n}{x}\)

so, what's that value? well, we dunno, but we know from the chart that, say 1st point above
(2, 36)
when x = 2, y = 36

so if you we use that in the "inverse variation equation"
we have
\(\bf y = \cfrac{n}{x}\\
36 = \cfrac{n}{2}\)

if you solve for "n", what does that give you?

Answer 11

18 thank you so much! @jdoe0001