Question

An 8th-grade class develops a linear model that predicts the number of Cheerios that fit on the circumference of a plate by using the diameter in inches. Their linear model is: y = 6.3 + 3.8x Where: x = diameter (in inches) y = # of Cheerios that fit If the diameter is increased by 10 inches, the predicted number of Cheerios will increase by approximately how many Cheerios?

A) 10 Cheerios
B) 38 Cheerios
C) 63 Cheerios
D) 380 Cheerios

Answer 1

To predict the increase in the number of Cheerios, substitute the new diameter into the linear model and calculate the difference in the predicted values.

Step-by-step explanation:

To predict the increase in the number of Cheerios, we can substitute the new diameter (increased by 10 inches) into the linear model and calculate the difference between the predicted values.

y = 6.3 + 3.8x

y1 = 6.3 + 3.8(x1)

y2 = 6.3 + 3.8(x1 + 10)

The predicted increase in the number of Cheerios is y2 - y1.