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

What does it mean to graph a ratio?

Back

Graphing a ratio involves plotting points on a coordinate plane to visually represent the relationship between two quantities.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, such as miles per hour or dollars per item.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide the first quantity by the second quantity to express the ratio in terms of one unit.

Front

What is proportionality in ratios?

Back

Proportionality means that two ratios are equivalent, meaning they represent the same relationship between quantities.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often expressed as y = kx.

Front

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

Back

A straight line on a graph indicates a constant ratio or proportional relationship between the two quantities.

Front

How do you interpret the slope of a graph representing a ratio?

Back

The slope of the graph represents the rate of change between the two quantities, indicating how much one quantity changes in relation to the other.

Front

What is the significance of the y-intercept in a ratio graph?

Back

The y-intercept represents the value of the dependent variable when the independent variable is zero.