Question

wadelyn spent the morning preparing loaves of bread to be baked at her bakery. to make each loaf, she pulls equal sized balls of dough from the bowl. the amount of dough left depends on how many loaves she has prepared. there is a linear relationship between the number of loaves wadelyn prepares and the amount of dough left, in ounces. describe the rate of change for this relationship.

Explanation:

Step1: Identify the formula for rate of change (slope)

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \(x\) be the number of loaves and \(y\) be the amount of dough left.

Step2: Select two points

Take \((x_1,y_1)=(0,1200)\) and \((x_2,y_2)=(20,800)\)

Step3: Calculate the slope

\(m=\frac{800 - 1200}{20-0}=\frac{- 400}{20}=-20\)

Answer:

The rate of change is \(-20\) ounces per loaf. This means that for each additional loaf of bread Madelyn prepares, the amount of dough left in the bowl decreases by \(20\) ounces.