Question

Melissa believes the following graph shows direct variation. What is Melissa’s error?

The graph is not a linear function.

The rate change is not constant.

The function does not pass through the origin.

A function with direct variation cannot have a negative slope.

Answer 1

Hi there!

The function doesn't pass through the origin.

Any direct variation function must pass through the origin.

Hope this helps!

Answer 2

Answer:

Option C.

Step-by-step explanation:

Melissa believes the following graph shows direct variation.

We need to find Melissa’s error.

If a variable y directly proportional to x, the

$y\propto x$

It can be written as

$y=kx$

where, k is constant of proportionality.

It is a linear function with slope k and it passes through the origin.

From the given graph it is clear that the function is a straight line, it means the graph is a linear function and the rate change is constant.

But, it does not pass through the origin. So, the given graph does not represent the direct variation.

Therefore, the correct option is C.