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A class measured the radius and circumference of various circular objects. The results are plotted on the graph below. Does there appear to be a proportional relationship between the radius and circumference of a circle? Explain your reasoning

A class measured the radius and circumference of various circular objects The results are plotted on the graph below Does there appear to be a proportional rela class=

Respuesta :

Answer:yes it is proportional.

Step-by-step explanation:

it goes through the origin & the line is straight

akposevictor

This does not in anyway show that there is a proportional relationship because the constant of proportionality (k) varies.

  • Also, if a straight line is drawn to connect the points, it won't pass through the center of origin (0, 0).
  • The relationship is not proportional.

Recall:

  • In a proportional graph, the line plotted passes through the center of origin (0, 0).
  • Also, each point on the line, (x, y) will always have a constant of proportionality that is the same, i.e. k = y/x.

Thus,

From the graph given:

  • For the first point, (3, 18) , k = 18/3 = 6

  • For the second point, (4, 25), k = 25/4 = 6.25

  • Third point, (6, 38), k = 38/6 = 6.33

Thus, this does not in anyway show that there is a proportional relationship because the constant of proportionality (k) varies.

  • Also, if a straight line is drawn to connect the points, it won't pass through the center of origin (0, 0).
  • The relationship is not proportional.

Learn more here:

https://brainly.com/question/6869319

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