An 8th grade class develops a linear model that predicts the number of cheerios (a small round cereal) that fit on the
circumference of a plate by using the diameter in inches. Their model is = 0.56 + 5.11 (diameter )
-The slope of this model is best interpreted in context as…
A) For every 1 inch of diameter, the circumference holds about 0.56 more cheerios.
B) A mistake, because π is about 3.14 and that should be the slope.
C) For every 1 inch of diameter, the circumference holds about 5.11 more cheerios.
D) For every 5.11 inches of diameter, the circumference is about 1 cheerio bigger.
E) It takes 5.11 cheerios to fill a plate's circumference.

Question

An 8th grade class develops a linear model that predicts the number of cheerios (a small round cereal) that fit on the
circumference of a plate by using the diameter in inches. Their model is  = 0.56 + 5.11 (diameter )
-The slope of this model is best interpreted in context as…
A) For every 1 inch of diameter, the circumference holds about 0.56 more cheerios. 
B) A mistake, because π is about 3.14 and that should be the slope. 
C) For every 1 inch of diameter, the circumference holds about 5.11 more cheerios. 
D) For every 5.11 inches of diameter, the circumference is about 1 cheerio bigger. 
E) It takes 5.11 cheerios to fill a plate's circumference.

Quizplus · Accepted Answer

The slope represents the change in the circumference for each unit change in diameter, which is consistent with the formula for circumference (C = πd), where π is approximately 3.14.

An 8th Grade Class Develops a Linear Model That Predicts