Rates, Ratios, and Proportions Wrap-Up/Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. It shows how much of one item is compared to one unit of another item.

Front

What is the constant of proportionality?

Back

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

Front

How do you find the unit rate from a total cost and quantity?

Back

To find the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the formula for finding 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 car travels 320 miles in 8 hours, how do you calculate the speed?

Back

To calculate speed, divide the distance by time. Speed = Distance ÷ Time = 320 miles ÷ 8 hours = 40 miles per hour.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate.

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

Front

How do you write an equation from a proportional relationship?

Back

You can write an equation in the form y = kx, where k is the constant of proportionality.