# Math Tutorial 4.2 - Rates. Applications of Ratios and Rates in Practice

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There are 5 lessons in this math tutorial covering Rates. Applications of Ratios and Rates in Practice. The tutorial starts with an introduction to Rates. Applications of Ratios and Rates in Practice and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Rates. Applications of Ratios and Rates in Practice. You can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What are rates? Where do they differ from ratios?
• What is a unit rate?
• What are the associated unit rates? How many are there in a rate?
• What is the rate of a quantity change? What is the common quantity in all rates of change?
• What are some applications of rates in practice?
• What is the golden ratio? How to find it?
• What is the Fibonacci sequence? Why it is so important?
• What are some uses of the golden ratio in practice?

## Introduction

What do you understand by the term water flow rate?

What about interest rates in banking? Do you know what they mean?

Could you produce a list of numbers where the next number is obtained from the sum of the previous two?

Are you good at Physics? If yes, how do you define velocity and acceleration? What about power? Induced electromotive force?

In this tutorial, we will discuss rates - a very important concept that is often confused with ratios. Hence, a significant number of examples are provided to clarify the misconceptions that are associated with this term.

Please select a specific "Rates. Applications of Ratios and Rates in Practice" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Ratio and Proportion Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
4.2Rates. Applications of Ratios and Rates in Practice
Lesson IDMath Lesson TitleLessonVideo
Lesson
4.2.1What Are Rates? Clarifying Misconceptions
4.2.2Two Associated Unit Rates
4.2.3Rate of a Quantity Change
4.2.4Applications of Rates in Practice
4.2.5Applications of Ratios in Practice - The Golden Ratio and Fibonacci Numbers

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