Multiple Representations

Front

What is a constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how much one quantity changes in relation to another.

Front

How do you determine if a relationship is proportional?

Back

A relationship is proportional if it can be represented by a straight line through the origin on a graph, and the ratio of the two quantities remains constant.

Front

What does it mean for a graph to be non-proportional?

Back

A non-proportional graph does not pass through the origin and the ratio between the two quantities is not constant.

Front

If a person earns $100 for each hour worked, what is the total earnings for 5 hours?

Back

$500

Front

What is the equation of a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

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

Back

Divide the output value by the input value for any pair of corresponding values; if the result is the same for all pairs, that value is the constant of proportionality.

Front

What is the slope of a line in a graph?

Back

The slope is the ratio of the rise (change in y) to the run (change in x), representing the rate of change.

Front

If a submarine dives 150 feet every minute, how deep will it be after 10 minutes?

Back

1,500 feet.

Front

What is the formula to calculate the total distance traveled at a constant speed?

Back

Distance = Speed × Time.

Front

How do you write an equation from a graph?

Back

Identify the slope and y-intercept, then use the slope-intercept form: y = mx + b.