Respuesta :

carlosego

Answer:

I was able to identify 3. The two of the second image and the last graphic of the third image

Step-by-step explanation:

Direct variation is a simple relationship between two variables either.

If we call x and y to these variables, then:

'y' varies directly with x. If x increases 'y' it also increases, if x decreases 'y' decreases.

This relationship can be represented in the following way:

y = mx.

Where m is the rate of change, called "constate of variation" and is also the slope of the line.

Note that when x and y vary directly, the equation of the line always passes through the origin.

Therefore to correctly answer this question look for all the lines that pass through the point (0,0)

I was able to identify 3. The two of the second image and the last graphic of the third image

The graphs that show functions with direct variation is in the first graph in the second image.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

What is a direct variation?

A direct variation is a relationship where the value of the dependent variable increases with the increases in the value of the independent variable and vice versa. It can be written as:

[tex]y \propto x\\y=mx[/tex]

For both the points if the value of the constant 'm' is the same, then the functions with a direct variation.

If we look at every graph, we will notice that there is only one graph in which the value of the constant is the same at both points.

The graph that is having the same constant value is the first graph in the second image. The points that are given in this graph are (1, 0.3) and (5, 1.5).

[tex]0.3=m_1 \times 1\\\\m_1=0.3\\\\\\1.5=m_2 \times 5\\\\m_2=0.3[/tex]

Hence, the graphs that show functions with direct variation is in the first graph in the second image.

Learn more about Function:

https://brainly.com/question/5245372

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