Proportional Relationships Flashcard- Math 7A

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 do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if a car travels 150 miles in 3 hours, the unit rate is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant rate of change between the two variables.

Front

If y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality, which is the unit rate.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal. For example, if a/b = c/d, then ad = bc.

Front

What is the equation of a line that passes through the origin and has a slope of 3?

Back

The equation is y = 3x.

Front

If Mi-Ling saves $45 in 3 weeks, what is her weekly savings?

Back

Her weekly savings is $15, calculated as $45 ÷ 3 weeks.

Front

What is the unit rate of speed if a train travels 180 miles in 2 hours?

Back

The unit rate of speed is 90 miles per hour, calculated as 180 miles ÷ 2 hours.

Front

How do you interpret a graph of a proportional relationship?

Back

In a graph of a proportional relationship, the line will pass through the origin and have a constant slope, indicating a constant ratio.

Front

What is the relationship between the x and y values in a proportional relationship?

Back

In a proportional relationship, as x increases, y increases at a constant rate, maintaining the same ratio.