6th Comparing Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a quantity per unit of another quantity, such as miles per hour or cost per ounce.

Front

How do you calculate the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 18 ounces of cereal costs $2.50, the unit rate is $2.50 ÷ 18 ounces.

Front

What is the formula for distance when speed and time are known?

Back

Distance = Speed × Time. This formula helps calculate how far an object travels based on its speed and the time it travels.

Front

How do you compare two rates?

Back

To compare two rates, convert them to the same unit or find the unit rate for each and then compare the values.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 13 out of 20 homes have a computer, the proportion can be written as 13/20.

Front

How do you find the total cost when buying multiple items?

Back

To find the total cost, multiply the cost of one item by the number of items purchased. For example, if one pizza costs $7, then 5 pizzas cost $7 × 5.

Front

What is the concept of equivalent ratios?

Back

Equivalent ratios are two or more ratios that express the same relationship between quantities. For example, 1/2 and 2/4 are equivalent ratios.

Front

How do you determine which option is cheaper when comparing prices?

Back

To determine which option is cheaper, calculate the cost per unit for each option and compare the values.

Front

What is the significance of the unit in rates?

Back

The unit in rates is important because it provides context for the comparison, such as miles per hour or dollars per ounce.

Front

How can you use proportions to make predictions?

Back

You can use proportions to predict outcomes based on known ratios. For example, if 13 out of 20 homes have computers, you can predict how many out of 60 homes will have them.