Constant of Proportionality Practice

Front

What is the 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

If the constant of proportionality is k = 45, what does it mean in terms of distance and time?

Back

It means that for every 1 hour, the boat travels 45 miles.

Front

How do you calculate the constant of proportionality from a given scenario?

Back

Divide the total amount of one quantity by the total amount of the other quantity.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

What is the constant of proportionality in the equation y = ½x?

Back

1/2.

Front

What does a proportional graph look like?

Back

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

Front

If the Williams family bought four concert tickets for $252, what is the price per ticket?

Back

$63.00 per ticket.

Front

What is the formula to find the constant of proportionality in a linear equation?

Back

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

Front

If a graph shows a straight line that does not pass through the origin, is it proportional?

Back

No, it is not proportional.

Front

What is the relationship between the constant of proportionality and unit rates?

Back

The constant of proportionality is equivalent to the unit rate, which describes how much of one quantity corresponds to one unit of another quantity.