TEKS 8.4B

Front

What is a slope in a graph?

Back

The slope of a graph represents the rate of change between two variables, calculated as the rise over run.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 15 lunches cost $33.75, the unit rate is $33.75 ÷ 15.

Front

What does a ratio represent?

Back

A ratio compares two quantities, showing how much of one thing there is compared to another. For example, a ratio of 30:18 compares 30 ounces of orange juice to 18 ounces of pineapple juice.

Front

What is the relationship between the number of adults and students in a ratio?

Back

In the ratio of 3 adults to 45 students, the unit rate is 1 adult for every 15 students.

Front

How do you find the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. For example, if 5 bracelets cost $12.50, the cost per bracelet is $12.50 ÷ 5.

Front

What is a graph's slope when representing a rate?

Back

The slope of a graph representing a rate shows how one quantity changes in relation to another, such as cakes per hour or dollars per lunch.

Front

What does it mean if a graph is linear?

Back

A linear graph shows a constant rate of change, meaning the relationship between the two variables is proportional.

Front

How can you represent a ratio graphically?

Back

A ratio can be represented graphically by plotting points that correspond to the quantities being compared, showing the relationship visually.

Front

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

Back

The y-intercept is the point where the graph crosses the y-axis, representing the value of the dependent variable when the independent variable is zero.

Front

What is the formula for slope?

Back

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