Question

The table below shows values for x and y. If y varies directly as x, what is the constant of variation?
x y
0 0
1 -9
2 -18
3 -27




-9

0

3

9

Answer 1

Answer:

k = - 9

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use any ordered pair from the given table of values

Using x = 1, y = - 9, then

k = $\frac{y}{x}$ = $\frac{-9}{1}$ = - 9

Answer 2

Answer:

-9.

Step-by-step explanation:

y varies directly as x so y = kx where k is the constant of variation.

Inserting the values of x and y.

0 = k*0

-9 = k*1 so k = -9

-18 = 2*k so k = -9

-27 = 3 *k so k = -9.