Comparing & Graphing Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you graph a ratio?

Back

To graph a ratio, plot points on a coordinate plane where the x-axis represents one quantity and the y-axis represents the other quantity, then connect the points to show the relationship.

Front

What does it mean to compare ratios?

Back

Comparing ratios involves determining which of two or more ratios is greater, smaller, or if they are equivalent.

Front

How do you find the equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per unit'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity to find out how much of the first quantity corresponds to one unit of the second.

Front

What is the purpose of graphing ratios?

Back

Graphing ratios helps visualize the relationship between two quantities, making it easier to analyze trends and make comparisons.

Front

If a graph shows a straight line, what does that indicate about the ratio?

Back

A straight line on a graph indicates a constant ratio between the two quantities, meaning they change at the same rate.

Front

How do you determine which ratio is better in a comparison?

Back

To determine which ratio is better, calculate the value of each ratio and compare them; the higher value is typically considered better.

Front

What is the formula for calculating a ratio?

Back

The formula for calculating a ratio is: Ratio = Quantity A / Quantity B.