Constant of Proportionality (tables, graphs, word problems)

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as a unit rate.

Front

What does a constant of proportionality of 10 caramel chews per kid mean?

Back

It means for every kid, there are 10 caramel chews.

Front

How do you find the constant of proportionality from a table?

Back

Divide the output value by the input value for any pair of corresponding values in the table.

Front

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

Back

45 miles per hour.

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

If the cost of a cab ride is $15 for 6 miles, what is the cost per mile?

Back

$2.50 per mile.

Front

What does a graph of a proportional relationship look like?

Back

It is a straight line that passes through the origin (0,0).

Front

In the equation y = kx, what does k represent?

Back

k represents the constant of proportionality.

Front

If a recipe requires 4 cups of flour for 2 batches, what is the constant of proportionality for flour per batch?

Back

2 cups of flour per batch.

Front

How can you determine if two quantities are proportional?

Back

If the ratio of the two quantities is constant, they are proportional.