Unit 3 Review - Fredericks

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

What is a non-proportional graph?

Back

A non-proportional graph does not show a constant ratio between the x and y values, meaning the relationship between the variables is not consistent.

Front

How do you determine the constant of proportionality from a graph?

Back

The constant of proportionality can be determined by finding the ratio of the y-value to the x-value for any point on the line that represents the proportional relationship.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit rate from a distance and time?

Back

To calculate the unit rate, divide the total distance traveled by the total time taken. For example, if a car travels 320 miles in 8 hours, the unit rate is 320 miles ÷ 8 hours = 40 miles per hour.

Front

What is a scale model?

Back

A scale model is a representation of an object that maintains the proportions of the original object but is smaller or larger in size.

Front

How do you convert measurements using a scale?

Back

To convert measurements using a scale, multiply the actual measurement by the scale factor. For example, if the scale is 1 cm : 3 m, and the actual width is 18 m, the model width is 18 m ÷ 3 = 6 cm.

Front

What is the formula for finding the constant of proportionality?

Back

The constant of proportionality (k) can be found using the formula k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates that there is a proportional relationship between the two variables.

Front

What is the significance of the slope in a proportional relationship?

Back

The slope of a line in a proportional relationship represents the constant of proportionality, indicating how much y changes for a unit change in x.