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 cheerios = 0.56 + 5.11(diameter).

-The slope of this model is best interpreted in context as……
A) For every 5.11 inches of diameter, the circumference is about 1 cheerio bigger.
B) It takes 5.11 cheerios to fill a plate's circumference.
C) For every 1 inch of diameter, the circumference holds about 0.56 more cheerios.
D) A mistake, because n is about 3.14 and that should be the slope.
E) For every 1 inch of diameter, the circumference holds about 5.11 more cheerios.

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 cheerios = 0.56 + 5.11(diameter) .

-The slope of this model is best interpreted in context as……

-The slope of this model is best interpreted in context as……
A) For every 5.11 inches of diameter, the circumference is about 1 cheerio bigger.
B) It takes 5.11 cheerios to fill a plate's circumference.
C) For every 1 inch of diameter, the circumference holds about 0.56 more cheerios.
D) A mistake, because n is about 3.14 and that should be the slope.
E) For every 1 inch of diameter, the circumference holds about 5.11 more cheerios.

Quizplus · Accepted Answer

The slope in a linear model represents the rate of change. In this context, the slope of 5.11 indicates that for every 1 inch increase in diameter, the number of cheerios that fit on the circumference increases by about 5.11.

An 8th Grade Class Develops a Linear Model That Predicts