Rates, Ratios & Unit Rates

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 rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

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 12 oranges cost $6, the unit rate is $6 ÷ 12 = $0.50 per orange.

Front

What is a unit price?

Back

The unit price is the cost for one unit of a product, allowing for easy comparison between different products.

Front

How do you determine the better deal between two products?

Back

Calculate the unit price for each product and compare them. The product with the lower unit price is the better deal.

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or unit rate, meaning as one quantity increases, the other increases at a consistent rate.

Front

If 10 slices of cheese cost $2.48, what is the unit price?

Back

The unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

If 15 pizzas cost $97.50, what is the unit rate per pizza?

Back

The unit rate is $97.50 ÷ 15 = $6.50 per pizza.

Front

How do you compare prices for bulk items?

Back

Calculate the unit price for each bulk item to determine which offers the best value.

Front

What is the formula to check if a relationship is proportional using a table?

Back

Divide the y-value by the x-value for each pair. If the result is constant, the relationship is proportional.