Brandon drew 4 circles, each with a different diameter, on a piece of paper. For each circle, he laid a piece of string along the outline and then measured the length of the string. His results are shown in the table below.

Question

Brandon drew 4 circles, each with a different diameter, on a piece of paper. For each circle, he laid a piece of string along the outline and then measured the length of the string. His results are shown in the table below.

Circle Measurements

Diameter Length
of String
5 cm 15.7 cm
10 cm 31.4 cm
15 cm 47.1 cm
20 cm 62.8 cm

Brandon wrote the equation, y = kx, to model the relationship between the circumference, y, and the diameter, x, of the circle. Which of the following statements correctly describe what k represents in this equation?
k represents the radius
k represents the unit rate
k represents the area
k represents
A.
I and IV only
B.
II and IV only
C.
I, II, and IV only
D.
I and III only

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

B. II and IV only

k represents the unit rate of change between the circumference and the diameter. It does not represent the radius or the area.