Proportional Relationships

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

What does the constant of proportionality represent?

Back

The constant of proportionality represents the factor by which one quantity is multiplied to obtain the other quantity in a proportional relationship.

Front

If the constant of proportionality is 9/1, what does this mean in practical terms?

Back

It means that for every 1 unit of the second quantity, there are 9 units of the first quantity, or $9 per hour.

Front

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

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity.

Front

If Miguel saves $15 per month, how much does he save in 6 months?

Back

He saves $90 in 6 months.

Front

What is the formula for finding a proportional relationship?

Back

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

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

If Taylor can write 25 words per minute, how many words can he write in 10 minutes?

Back

He can write 250 words in 10 minutes.

Front

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

Back

The relationship is defined by the formula: Speed = Distance / Time.

Front

If Samantha drives at 30 mph and Tracy drives 60 miles in 2 hours, what is Tracy's speed?

Back

Tracy's speed is 30 mph.