# Direct Variation Word Problems Worksheet With Answers

## Introduction

Direct variation word problems are an essential part of the mathematics curriculum. They involve solving equations with one variable in terms of another. The problems can be quite challenging, and require an understanding of the concept of direct variation. This article will explain what direct variation is, and provide a worksheet with answers to help students master this important mathematical concept.

## What is Direct Variation?

Direct variation is a type of proportional relationship between two variables. In other words, when one variable increases, the other one also increases at a certain rate. This rate is referred to as the constant of variation. To solve a direct variation problem, you must find the constant of variation and then use it to solve for the unknown variable.

## Direct Variation Word Problem Worksheet

The following worksheet contains several direct variation word problems with answers. Each problem has two variables, x and y, and the constant of variation, k. The student must solve for either x or y, depending on the problem. The answers are provided at the end of the worksheet.

### Direct Variation Word Problems Worksheet

1. If y varies directly as x, and y = 8 when x = 4, what is the value of k?

Answer: k = 2

2. If y varies directly as x, and x = 10 when y = 30, what is the value of k?

Answer: k = 3

3. If y varies directly as x, and x = 6 when y = 24, what is the value of y when x = 4?

Answer: y = 16

4. If y varies directly as x, and y = 12 when x = 8, what is the value of x when y = 6?

Answer: x = 4

## Conclusion

Direct variation word problems can be challenging for students to solve. However, with practice and understanding of the concept, they can become easier to solve. This article provided a worksheet with answers to help students learn the concept and practice solving direct variation word problems. With these tools, students can gain a better understanding of this important mathematical concept.