Math 7: Topic 2 Review

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 non-proportional relationship in a graph?

Back

A non-proportional relationship in a graph is identified when the graph does not pass through the origin or when the ratios of corresponding values are not constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality from a table, divide the value of y by the corresponding value of x for any pair of values.

Front

What does the equation y = ⅜x represent?

Back

The equation y = ⅜x represents a proportional relationship where the constant of proportionality is ⅜.

Front

How can you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other, then solve for the unknown variable.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the graph will always pass through the origin (0,0), indicating that when one quantity is zero, the other quantity is also zero.

Front

How do you interpret a table showing hours in flight and miles flown?

Back

The table shows the relationship between the number of hours a jet is in flight and the distance it travels, which can be used to find the constant of proportionality.

Front

What is the formula to calculate distance in a proportional relationship?

Back

The formula to calculate distance in a proportional relationship is d = rt, where d is distance, r is rate (or speed), and t is time.

Front

What is the relationship between hours in flight and miles flown for a jet?

Back

The relationship is proportional, meaning that as the number of hours increases, the distance flown also increases at a constant rate.