Respuesta :

Answer: Choice C.  (4, 10)

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Explanation:

All direct variation graphs are straight lines that pass through the origin (0,0). This particular line also passes through (2,5). Draw a straight line through both points and you'll see the line passes through (4,10) as well. Check out the graph below. The equation of the direct variation graph is y = (5/2)x which is the same as y = 2.5x

Note that going from (2,5) to (4,10) has us double each coordinate. So another point on this line would be (3,15) as I've tripled the original coordinates. You can generate as many points as you like in this fashion.

Or you could note that y/x = 5/2 = 2.5 for the first point given and y/x = 10/4 = 2.5 for the answer point. This applies to any point on the line that isn't the origin.

Ver imagen jimthompson5910

Answer:

(4,10)

Step-by-step explanation:

Direct variation means y varies directly with x which can be written as y=kx where k is an arbitrary constant.

We are given the point (2,5). In order to find k, plug (2,5) into the equation y=kx.

5=k(2) -> k=5/2

Now we have a line y=(5/2)x

Just plug in the different points in the multiple choices to see if it fits or not.

You should find that (4,10) is the answer.

10=(5/2)(4)

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