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 ratio between two proportional quantities, often expressed as 'k' in the equation y = kx.

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 unit rate from a given rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, 30 laps in 10 minutes gives a unit rate of 3 laps per minute.

Front

What is the equation of a line that represents a proportional relationship?

Back

The equation of a line that represents a proportional relationship is in the form y = kx, where k is the constant of proportionality.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

How can you determine who has the better deal when comparing prices?

Back

To determine who has the better deal, calculate the unit price for each option and compare them.

Front

If Evan bought 5 pounds of bananas for $10, what is the price per pound?

Back

The price per pound is $2 per pound.

Front

If Christy bought 6 pounds of bananas for $9, what is the price per pound?

Back

The price per pound is $1.50 per pound.

Front

Which is a better deal: $2 per pound or $1.50 per pound?

Back

$1.50 per pound is the better deal.