Question

this situation can be modeled as a linear relationship. complete the statement that describes the situation. cindy made 225 ounces of pancake batter to start and used ounces of batter for each pancake.

Explanation:

Step1: Find the initial amount

The y - intercept of the line represents the initial amount of pancake batter. When \(x = 0\) (no pancakes made), \(y=225\) ounces. So, Cindy started with 225 ounces of batter.

Step2: Find the rate of change (slope)

The slope \(m\) of a line is given by \(m=\frac{\Delta y}{\Delta x}\). We can take two points on the line, say \((0, 225)\) and \((100,0)\). Then \(m=\frac{0 - 225}{100-0}=-\frac{225}{100}=- 2.25\). The negative sign indicates that the amount of batter is decreasing. The absolute - value of the slope, 2.25, represents the amount of batter used per pancake.

Answer:

Cindy made 225 ounces of pancake batter to start and used 2.25 ounces of batter for each pancake.