Proportional Relationships in Tables FLASHCARD

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you tell if a table shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of the corresponding values are equal.

Front

What is the constant of proportionality?

Back

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

Front

If Abigail works 12 hours and earns $36, what is her hourly wage?

Back

$3 per hour.

Front

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

Back

You can find the constant of proportionality by dividing the output value by the input value (C.o.P. = y/x).

Front

If a table shows the relationship between distance and time, how do you find the speed?

Back

Speed can be found by dividing distance by time.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of the corresponding values are not constant.

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 formula to calculate the constant of proportionality?

Back

C.o.P. = y/x, where y is the output and x is the input.

Front

If a table shows the values (2, 6), (4, 12), (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3.