Comparing 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 write an equation for a proportional relationship?

Back

The equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What does the slope of a line represent in a proportional relationship?

Back

The slope of a line represents the rate of change or the constant of proportionality in a proportional relationship.

Front

If Sia saves $25 per month, how much will she save in 'x' months?

Back

Sia will save 25x dollars in 'x' months.

Front

How do you determine which company has the lowest price per hour in a graph?

Back

To determine which company has the lowest price per hour, compare the slopes of the lines representing each company's pricing on the graph.

Front

What is the significance of the y-intercept in a proportional relationship?

Back

In a proportional relationship, the y-intercept is always zero, indicating that when x is zero, y is also zero.

Front

How can you find the difference in savings between two individuals after a certain period?

Back

To find the difference in savings, calculate the total savings for each individual and subtract one from the other.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula to calculate the slope is (y2 - y1) / (x2 - x1).

Front

What does a steeper slope indicate in a graph of a proportional relationship?

Back

A steeper slope indicates a greater rate of change, meaning one quantity increases faster relative to the other.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified from a table of values if the ratios of corresponding values are constant.