Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the values change.

Front

If you travel 150 miles on 5 gallons, what is the constant of proportionality in miles per gallon?

Back

30 miles per gallon.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if a box of cereal costs $3.59 for 30 oz, the unit rate is $3.59 ÷ 30 oz = 12 cents per ounce.

Front

What does a constant of proportionality of k = 1.50 mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 1.50 times.

Front

If you earn $15 every 3 weeks, how much do you earn in 5 weeks?

Back

You earn $25 in 5 weeks.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour.

Front

What is the unit rate of 45 mph?

Back

It means traveling 45 miles in 1 hour.

Front

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

Back

The constant of proportionality is 45 mph.

Front

How do you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal.