Understanding the Graph of George's Candy Bars

The video tutorial explains how to interpret a graph showing George's unsold candy bars over a 10-day period. It focuses on understanding the slope of the line represented by the graph, which is calculated as the change in the vertical-axis over the change in the horizontal-axis. The tutorial guides viewers through identifying the correct line with a slope of negative 12 and deriving the equation of the line, y = -12x + 120, by determining the y-intercept when x is zero.

What does the graph represent in the context of George's candy bars?

• The price of candy bars over time

• The total number of candy bars George had

• The number of unsold candy bars over a 10-day period

• The number of candy bars sold each day

What happens to the number of unsold candy bars by day 10?

• Half of the candy bars are sold

• Candy bars are doubled

• No candy bars are sold

• All candy bars are sold

How is the slope of a line generally defined?

• The product of the vertical and horizontal changes

• The change in the vertical-axis for a given change in the horizontal-axis

• The change in the horizontal-axis for a given change in the vertical-axis

• The sum of the vertical and horizontal changes

What is the calculated slope of the line representing George's unsold candy bars?

• Positive 12

• Negative 10

• Negative 12

• Positive 10

What does the slope of negative 12 indicate about the candy bars?

• Candy bars are sold in batches of 12

• Candy bars remain constant

• Candy bars are decreasing by 12 each day

• Candy bars are increasing by 12 each day

Which line correctly represents the points on the graph?

• A line with a slope of negative 10

• A line with a slope of positive 12

• A line with a slope of negative 12

• A line with a slope of positive 10

What is the general form of the equation of a line?

• y = b - mx

• y = mx + b

• y = b + mx

• y = x + mb

What is the y-intercept of the line in the context of George's candy bars?

• 120 candy bars

• 0 candy bars

• 12 candy bars

• 10 candy bars

What is the equation of the line representing George's unsold candy bars?

• y = 12x + 120

• y = -12x + 120

• y = 120 - 12x

• y = 10x - 120

How can the equation of the line be alternatively written?

• 12x + 120

• 120 + 12x

• 12x - 120

• 120 - 12x