Ratios/Rates/Proportions

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

How do you calculate a rate?

Back

A rate is calculated by dividing one quantity by another, typically involving different units, such as distance per time (e.g., miles per hour).

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the number of units (e.g., price per gallon, price per pound).

Front

If a cashier serves 2 customers in 8 minutes, how do you find the number of customers served in a different time frame?

Back

Use the rate of customers per minute to calculate the number of customers served in the new time frame by multiplying the rate by the new time.

Front

What is the formula for calculating speed?

Back

Speed is calculated using the formula: Speed = Distance / Time.

Front

How do you convert a rate to a different unit?

Back

To convert a rate to a different unit, multiply by a conversion factor that relates the two units.

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions.

Front

How can you determine if two ratios form a proportion?

Back

Two ratios form a proportion if their cross products are equal.

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.