Proportional Relationships -- Tables, Equations, and Graphs

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of the corresponding values are the same.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

How do you find the constant of proportionality in a proportional relationship?

Back

The constant of proportionality (k) can be found by dividing the value of y by the value of x (k = y/x).

Front

If 2 pounds of apples cost $4, how much do 5 pounds cost?

Back

$10 (Using the constant of proportionality: k = 4/2 = 2; so, 5 pounds cost 5*2 = $10).

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if the line is not straight.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often used to express prices per item.

Front

If a recipe requires 3 cups of flour for 2 cakes, how much flour is needed for 5 cakes?

Back

7.5 cups (Using the unit rate: 3 cups/2 cakes = 1.5 cups per cake; 5 cakes require 5*1.5 = 7.5 cups).