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 is the constant of proportionality?

Back

The constant of proportionality (k) is the constant value that relates two proportional quantities, often represented in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if 120 miles are traveled in 2 hours, the unit rate is 120 miles ÷ 2 hours = 60 miles/hour.

Front

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

Back

The price per pound is $10 ÷ 5 pounds = $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 $9 ÷ 6 pounds = $1.50 per pound.

Front

Who has the better deal: Evan or Christy?

Back

Christy has the better deal because she pays $1.50 per pound compared to Evan's $2 per pound.

Front

What does the equation y = kx represent?

Back

The equation y = kx represents a linear relationship where y is directly proportional to x, with k being the constant of proportionality.

Front

If k = 3, what is the equation for y when x = 4?

Back

If k = 3, then y = 3 * 4 = 12.

Front

What is the unit rate of 80 miles in 1 hour?

Back

The unit rate is 80 miles/hour.

Front

What is the unit rate of 40 miles in 1 hour?

Back

The unit rate is 40 miles/hour.