Constant of Proportionality Review

Front

What is the equation form of a proportional relationship?

Back

y = kx

Front

How would you describe a relationship that is proportional?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

What is the constant of proportionality in a proportional relationship?

Back

The constant of proportionality is the constant value (k) that relates the two variables in the equation y = kx.

Front

If a train travels 90 miles in 2 hours, what is its constant of proportionality in miles per hour?

Back

45 mph

Front

If a pack of pens costs $4 for 8 pens, what is the cost per pen?

Back

$0.50 per pen

Front

What does a graph of a proportional relationship look like?

Back

A straight line that passes through the origin (0,0).

Front

If the distance a car travels is directly proportional to the time it travels, what is the relationship between distance and time?

Back

Distance = Speed × Time.

Front

How can you determine if two packs of pens have the same cost per pen?

Back

Calculate the cost per pen for each pack and compare the values.

Front

What is the constant of proportionality if a table shows that 5 apples cost $10?

Back

The constant of proportionality is 2 (cost per apple).

Front

If a graph shows a line with a slope of 3, what does this indicate about the relationship?

Back

For every 1 unit increase in x, y increases by 3 units.