Question

What ratios and rates? how can you use ratios and rates to describe quantities and solve problems?

Answer 1

to describe the same relationship between quantities or to compare two quantities. A rate is a special type of ratio that compares quantities with unlike units. A unit rate compares a quantity of something with a single unit of a different quantity.

Answer 2

The Ratios, Rate and unit rate are used to solve many real-world problems.

Let us defined ratios, rates and unit rates and see the real world examples below.

As a ratio is a comparison of two numbers or measurements.

For example, if a store sells 5 black color pens and 7 blue color pens, then the ratio of black to blue pens is 5 to 7.

A rate is also a ratio in which the two terms are in different units.

For example, if 2 galloons of milk costs 8 dollar, then the rate is 2galloons for

8 dollar. And the unit is galloons per dollar.

As Rates are used in our daily life, such as when we work 40 hours per week or take 2 liters of water per day. When rates are expressed as a quantity of 1, such as 2 liters of water per day that is, per 1 day or 6 miles per hour that is, per 1 hour. So they can be defined as unit rates.

Hope this helps