Graphing Ratios and Rates

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 is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

Front

How do you graph a point on a coordinate plane?

Back

To graph a point, locate the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis, then plot the point where these two values intersect.

Front

What does the unit rate represent?

Back

The unit rate is the amount of one quantity per one unit of another quantity, often used to simplify comparisons.

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 it as a value per one unit.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a slope of 2 boys for every 1 girl mean?

Back

It means that for every 1 girl, there are 2 boys, indicating a ratio of boys to girls.

Front

How do you interpret a graph showing rates of change?

Back

The steepness of the graph indicates the rate of change; a steeper line represents a greater rate of change.

Front

What is the significance of the origin (0,0) in a graph?

Back

The origin is the point where the x-axis and y-axis intersect, representing the value of zero for both variables.

Front

How can you convert a rate into a ratio?

Back

To convert a rate into a ratio, express the two quantities in the same units and simplify if necessary.