Tom is sorting cookies with his little sister Betty. He notices that when he takes a cookie she takes three cookies, when he takes two cookies she takes six, and so on. What type of relationship is there between their cookie-taking
behaviors?
A)
nonproportional
B)
semiproportional
directly proportional
D)
inversely proportional

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have