Ratios and Proportional Relationships Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

How do you find the constant of proportionality?

Back

The constant of proportionality (k) can be found by dividing one quantity by the other when the two quantities are proportional.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If Ellie made $45 for 6 hours of babysitting, what is her hourly rate?

Back

$7.50 per hour.

Front

If Trevor rode 25 miles in 2 hours, what is his speed in miles per hour?

Back

12.5 miles per hour.

Front

What does the point (20, 5) represent in a proportional relationship?

Back

It represents that if she delivers 20 newspapers, she will earn $5.

Front

How do you determine if a relationship is proportional from a table of values?

Back

Check if the ratios of corresponding values are constant.

Front

What is the formula for finding the constant of proportionality in a direct variation?

Back

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