Renna Copy of 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

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 you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k' in the equation y = kx.

Front

If Johnny read 280 pages in 4 hours, how many pages did he read per hour?

Back

70 pages per hour.

Front

What is the formula to set up a proportion?

Back

A proportion can be set up as a/b = c/d, where a, b, c, and d are quantities.

Front

How do you solve for x in a proportion?

Back

Cross-multiply the terms: a/b = c/d becomes a*d = b*c, then solve for x.

Front

What is the relationship between ratios and proportions?

Back

Ratios compare two quantities, while proportions state that two ratios are equal.

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

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

Back

Divide the output value by the input value for any pair of corresponding values in the table.