TEKS 8.4B

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you calculate the unit rate from a given total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if the total cost is $16.50 for 6 shirts, the unit rate is $16.50 ÷ 6 = $2.75 per shirt.

Front

What is a ratio, and how is it represented?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other. It can be represented in several ways, such as a fraction, with a colon (e.g., 3:2), or with the word 'to' (e.g., 3 to 2).

Front

What is the significance of the slope in a real-world context?

Back

The slope in a real-world context often represents a rate of change, such as speed, cost per item, or efficiency, helping to understand relationships between variables.

Front

How do you interpret a graph that represents a unit rate?

Back

A graph representing a unit rate will show a straight line where the slope indicates the constant rate of change. The steeper the line, the greater the unit rate.

Front

What is the formula for calculating speed?

Back

Speed is calculated using the formula: Speed = Distance ÷ Time. For example, if Joseph ran 6 miles in 48 minutes, his speed would be 6 miles ÷ (48/60) hours.

Front

How can you determine the average cost per item from a total cost?

Back

To determine the average cost per item, divide the total cost by the number of items. For example, if 15 lunches cost $33.75, the average cost per lunch is $33.75 ÷ 15.

Front

What does it mean for two quantities to be in a proportional relationship?

Back

Two quantities are in a proportional relationship if they maintain a constant ratio or unit rate, meaning that as one quantity increases, the other quantity increases at a consistent rate.

Front

How do you represent a ratio of two liquids in a bottle?

Back

To represent a ratio of two liquids, you can express it as a fraction or in simplest form. For example, if there are 30 ounces of orange juice and 18 ounces of pineapple juice, the ratio is 30:18, which simplifies to 5:3.

Front

What is the relationship between the slope of a line and the unit rate in a graph?

Back

The slope of a line in a graph represents the unit rate, indicating how much one variable changes in relation to another. A steeper slope indicates a higher unit rate.