Table of Contents

- 1 What is an equation that shows a relationship?
- 2 What is an equation that expresses a relationship among variables?
- 3 How do you find a function that represents a relationship?
- 4 What are quantities in an equation?
- 5 Is a number that makes an equation true?
- 6 What is an equation with two equal ratios?
- 7 Where does the equals sign go in an equation?
- 8 When does a formula turn into an equation?

## What is an equation that shows a relationship?

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

**What is a rule for the relationship between certain quantities called?**

Formula. A literal equation that states a rule for a relationship among quantities. Equation. A mathematical sentence that shows that two expressions are equivalent. Identity.

### What is an equation that expresses a relationship among variables?

A formula is an equation that expresses a relationship between two or more variables. The process of finding formulas to describe real-world phenomena is called mathematical modeling. Such formula are often called mathematical models (or just models).

**What shows the relationship between two or more quantities?**

Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

## How do you find a function that represents a relationship?

How To: Given a relationship between two quantities, determine whether the relationship is a function.

- Identify the input values.
- Identify the output values.
- If each input value leads to only one output value, classify the relationship as a function.

**What is a relationship rule in math?**

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

### What are quantities in an equation?

A quantity is an amount, number, or measurement. It answers the question ‘how much?’ . Quantities can be described using numbers, like 55 pages of reading.

**What is two or more equations with common variables?**

A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.

## Is a number that makes an equation true?

To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation.

**What is the equality of two ratios called?**

A proportion is an equality of two ratios.

### What is an equation with two equal ratios?

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

**Which is the correct definition of an equation?**

It would be the rule or instructions that is use to show the relationship between two or more quantities. An equation is a problem displayed with numerals or symbols with an equals (=) sign included somewhere; usually near the end of the equation.

## Where does the equals sign go in an equation?

An equation is a problem displayed with numerals or symbols with an equals (=) sign included somewhere; usually near the end of the equation. Unless, it is a ratio or division.

**Why are equations used so often in math?**

Equations appear frequently in mathematics because mathematicians love to use equal signs. A formula is a set of instructions for creating a desired result. Non-mathematical examples include such things as chemical formulas (two H and one O make H2O), or the formula for Coca-Cola (which is just a list of ingredients).

### When does a formula turn into an equation?

A formula is meant to be evaluated, that is, you replace all variables in it with values and get the value of the formula. Your example is a formula for mpg. But it can become an equation if mpg and one of the other value is given and the remaining value is sought.