Proportionality in Tables, Graphs, and Equations

Front

What is proportionality?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant. If one quantity increases, the other increases at a consistent rate.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 3 pounds of hamburger cost $6, the unit rate is $6 ÷ 3 = $2 per pound.

Front

If 4 pounds of apples cost $8, what is the cost of 10 pounds?

Back

$20 (Unit rate is $2 per pound, so 10 pounds cost 10 x $2 = $20).

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratios of the corresponding values are constant and the graph of the values passes through the origin (0,0).

Front

What is the formula for solving proportions?

Back

The formula for solving proportions is a/b = c/d, where a, b, c, and d are numbers. Cross-multiply to find the unknown.

Front

If 5 tickets cost $75, what is the cost of 1 ticket?

Back

$15 (Unit rate is $75 ÷ 5 = $15 per ticket).

Front

What is a constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups (Unit rate is 0.5 cups per serving, so 10 servings require 10 x 0.5 = 5 cups).

Front

What is the relationship between unit rate and proportionality?

Back

The unit rate is the constant ratio in a proportional relationship, indicating how much of one quantity corresponds to one unit of another.