Interpret 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 simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, expressed as y = kx.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

What does it mean if a graph is non-proportional?

Back

A non-proportional graph does not represent a constant ratio between the two variables, often shown by a line that does not pass through the origin.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How do you find the unit rate from a proportional relationship?

Back

The unit rate is found by dividing the quantity of one variable by the quantity of the other variable when the second variable is equal to 1.

Front

What is the formula for finding the constant of proportionality from a table of values?

Back

The constant of proportionality (k) can be found by dividing the value of y by the value of x for any pair of corresponding values.

Front

If Hannah reads 5/8 page in 2/3 minute, how many pages can she read in one minute?

Back

Hannah can read 15/16 pages per minute.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.