During an exploratory activity, a student measured the diameter and circumference of several circular objects. She recorded her data in the table below. What equation best represents this data?

y = 6.28x
y = 3.14x + 6.28
y = 3.14x
y = 6.28x + 3.14

Answer:

y=3.14x

Step-by-step explanation:

if you graph this on a calculator you can just visually see what line lines up with all the points. but you can also plug in one of the points into the equations to see if its true or not and if its true choose that equation. like use the first points (2, 6.28) and plug them into the equations and see which one is true.

The equation best represents the given data is y=3.14x. Therefore, option C is the correct answer.

Given that, a student measured the diameter and circumference of several circular objects.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

From the table we have (2.0, 6.28) and (5.3, 16.64)

Now, slope = (16.64-6.28)/(5.3-2.0)

= 10.36/3.3

= 3.14

Substitute m=3.14 and (x, y)=(2.0, 6.28) in y=mx+c, we get

6.28=3.14(2.0)+c

c=0

Substitute m=3.14 and c=0 in y=mx+c, we get

y=3.14x

The equation best represents the given data is y=3.14x. Therefore, option C is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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