Constant of Proportionality Problems

This video tutorial from Zea Math explains how to identify and calculate the constant of proportionality from equations, graphs, tables, and word problems. It covers the definition of the constant of proportionality, represented by the variable K, and demonstrates how to find it using various examples, including airline baggage costs and burrito calorie counts. The video also shows how to use graphs to determine the constant and solve word problems, emphasizing the importance of choosing data points where x equals 1 for easier calculations.

What is the constant of proportionality in the equation Y = KX?

• None of the above

• K

• X

• Y

In a proportional relationship, what does the constant of proportionality represent?

• The sum of X and Y

• The product of X and Y

• The difference between X and Y

• The ratio between X and Y

How can you identify the constant of proportionality from a table?

• By adding X and Y values

• By multiplying X and Y

• By dividing Y by X

• By subtracting X from Y

In the airline baggage example, what is the constant of proportionality?

• 25

• 20

• 15

• 10

If 3 burritos have 240 calories, what is the constant of proportionality?

• 90

• 60

• 70

• 80

How do you find the constant of proportionality from a graph?

• By finding the midpoint

• By finding the area under the curve

• By finding the intercept

• By finding the slope

In a graph, which point is easiest to use for calculating the constant of proportionality?

• Point where X = 0

• Point where X = 1

• Point where Y = 0

• Point where Y = 1

What is the constant of proportionality if a recipe uses 2 cups of sugar for 4 batches of cookies?

• 4

• 1

• 2

• 3

A hiker walks 7 miles in 2 hours. What is the constant of proportionality?

• 6

• 4

• 3.5

• 5

In the equation Y = 3X, what is the constant of proportionality?

• 3

• 2

• 4

• 1