Question

What is the constant of variation for the following table? If your answer is in the form of a fraction, write your answer in as a/b.

(where a is the numerator and b is the denominator)

Answer 1

1/4

Explanation:

Change is y (f9x) over the change in x.

Look at the f(x) column.

What is the change from -2 to -1? 1

What is the change from -1 to 0? 1

What is the change from 0 to 1? 1

What is the change from 1 to 2? 1

We see that this change is constant. It is always 1.

Look at the x column.

What is the change from -8 to -4? 4

What is the change from -4 to 0? 4

What is the change from 0 to 4? 4

What is the change from 4 to 8? 4

We see that the change is constant. It is always 1.

When we put this change the form a/b we get 1/4