Constant of Proportionality Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as k in the equation y = kx.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 15 pizzas cost $97.50, the unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

What does 'unit' mean in mathematics?

Back

In mathematics, 'unit' refers to one single item or quantity.

Front

Write the equation for a proportional relationship where y increases by 3 for every increase of 1 in x.

Back

y = 3x.

Front

If a car travels 195 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 195 miles ÷ 3 hours = 65 miles per hour.

Front

What is the formula to calculate the constant of proportionality from a table of values?

Back

The constant of proportionality can be calculated by dividing the y-value by the corresponding x-value.

Front

If y = 4x, what is the constant of proportionality?

Back

The constant of proportionality is 4.

Front

What is the relationship between unit price and constant of proportionality?

Back

The unit price is a specific case of the constant of proportionality, representing the cost per single unit of an item.

Front

If you buy 10 items for $50, what is the unit price?

Back

The unit price is $50 ÷ 10 = $5 per item.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.