7th Grade - Proportional Relationships - Lesson 1 & 2

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 is constant.

Front

What does the constant of proportionality (k) represent in the equation y = kx?

Back

The constant of proportionality (k) represents the constant rate of change between the two quantities.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, is this a proportional relationship?

Back

Yes, because the ratio of flour to sugar remains constant.

Front

What is the formula to find the constant of proportionality from a table of values?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

If 5 apples cost $10, what is the cost of 1 apple?

Back

$2, because the cost per apple is constant.

Front

How do you determine if a set of points on a graph represents a proportional relationship?

Back

If the points form a straight line that passes through the origin (0,0), it represents a proportional relationship.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is 1.

Front

If a car travels 300 miles in 5 hours, what is its speed in miles per hour?

Back

60 miles per hour, because 300 miles ÷ 5 hours = 60 miles/hour.

Front

What does it mean if a table of values is not proportional?

Back

It means that the ratios of the corresponding values are not constant.

Front

Write an equation that represents the relationship between the number of hours worked (x) and the total pay (y) if the pay rate is $15 per hour.

Back

y = 15x.