Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the 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, divide the output value (y) by the input value (x) for any pair of values in the table.

Front

If a lifeguard earns $37 for 4 hours, what is the constant of proportionality?

Back

$9.25 per hour.

Front

What does a proportional relationship mean in terms of a graph?

Back

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

Front

How can you determine if a relationship is proportional from a table?

Back

A relationship is proportional if the ratios of corresponding values (y/x) are constant.

Front

What is the formula for finding the constant of proportionality in a linear equation?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

If Maria wants to earn $200 and the equation is p = 3s + 50, how many sales does she need to make?

Back

50 sales.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is described by the formula: Distance = Rate × Time.

Front

How do you calculate the speed of a train from a distance-time graph?

Back

The speed is calculated by finding the slope of the line on the graph, which represents distance over time.

Front

What does it mean if a graph is linear?

Back

A linear graph indicates a constant rate of change, meaning the relationship between the variables is proportional.