Find the constant of proportionality from a table

Learning Objectives Define and identify the constant of proportionality. Identify independent (x) and dependent (y) variables in a proportional relationship presented in a table. Calculate the ratio y/x for all pairs of values in a given table. Determine if a table represents a proportional relationship by checking for a constant ratio. Find the constant of proportionality (k) from a table that shows a proportional relationship. Write the equation y = kx for a proportional relationship given in a table. Ever wonder how much you earn per hour? 💰 Or how many cookies you can bake with a certain amount of flour? These are all about proportional relationships! In this lesson, you'll learn how to find the special number that connects two quantities in a proportional relatio...

TermDefinitionExample Proportional RelationshipA relationship between two quantities where their ratio is constant. When one quantity changes, the other quantity changes by a constant factor.If you earn $10 for every 1 hour you work, then working 2 hours earns $20, and 3 hours earns $30. The ratio of earnings to hours is always 10. Constant of Proportionality (k)The constant ratio between two quantities in a proportional relationship. It's the value of y divided by x (y/x) for any pair of corresponding values.In the example of earning $10 per hour, the constant of proportionality (k) is 10, because Earnings/Hours = 10/1 = 20/2 = 30/3 = 10. RatioA comparison of two quantities by division. It can be written as a fraction, with a colon, or with the word 'to'.If there are 3 app...

Equation of a Proportional Relationship $$y = kx$$ This equation represents any proportional relationship, where 'y' is the dependent variable, 'x' is the independent variable, and 'k' is the constant of proportionality. Formula for Constant of Proportionality $$k = \frac{y}{x}$$ To find the constant of proportionality (k), divide the value of the dependent variable (y) by the corresponding value of the independent variable (x). This ratio must be constant for all pairs in a proportional relationship. Checking for Proportionality in a Table $$\frac{y_1}{x_1} = \frac{y_2}{x_2} = \dots = k$$ To confirm if a table represents a proportional relationship, calculate the ratio y/x for every pair of values. If all these ratios are equal to the s...