Compare Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How do you identify a proportional relationship from a graph?

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin (0,0).

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the total quantity by the number of units, expressed as: Unit Rate = Total Quantity / Number of Units.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

Speed = Distance / Time = 150 miles / 3 hours = 50 miles per hour.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

How can you represent a proportional relationship with an equation?

Back

A proportional relationship can be represented by the equation y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

Using the unit rate, 2 cups / 4 servings = 0.5 cups per serving. For 10 servings: 0.5 cups/serving * 10 servings = 5 cups.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not maintain a constant ratio.

Front

How do you find the slope of a line in a graph representing a proportional relationship?

Back

The slope (m) can be found by choosing two points on the line and using the formula: m = (y2 - y1) / (x2 - x1).