Finding the Constant of Proportionality from Graphs

The video tutorial by Mr. Herman focuses on finding the constant of proportionality from graphs. It covers several examples, including distance traveled based on trips, cost per guest at a birthday party, piano pieces learned over weeks, and revenue from customers at an auto wash. The tutorial emphasizes the importance of identifying points on a graph where the line passes through grid intersections to calculate the constant of proportionality, denoted as K, by dividing Y by X.

What is the first step in finding the constant of proportionality from a graph?

• Calculate the slope of the line

• Identify the y-axis label

• Determine the x-axis range

• Find a point where the line crosses the grid

What does a straight line through (0,0) indicate about a graph?

• The variables are not related

• The relationship is non-linear

• There is a constant of proportionality

• The graph is incorrectly plotted

How do you calculate the constant of proportionality, K, from a graph?

• Subtract y from x

• Add y to x

• Divide y by x

• Multiply y by x

In the distance and trips example, what is the value of K?

• 1 kilometer per trip

• 2 kilometers per trip

• 3 kilometers per trip

• 4 kilometers per trip

What is the cost per guest at the birthday party?

• $2.00 per guest

• $2.50 per guest

• $1.50 per guest

• $1.00 per guest

How is the cost per guest calculated from the graph?

• By finding the highest cost

• By dividing total cost by number of guests

• By multiplying the number of guests by a fixed rate

• By adding a fixed rate to each guest

What is the rate of learning piano pieces per week?

• 0.4 pieces per week

• 0.6 pieces per week

• 0.2 pieces per week

• 0.8 pieces per week

How many piano pieces can Elisa learn in 5 weeks?

• 10 pieces

• 20 pieces

• 5 pieces

• 2 pieces

What is the revenue per customer at Logan's Auto Wash?

• $3 per customer

• $4 per customer

• $5 per customer

• $6 per customer

How is the constant of proportionality useful in real-life scenarios?

• It helps in predicting future outcomes

• It complicates simple relationships

• It is only useful in mathematical contexts

• It cannot be applied to real-life situations