# Graphing Proportional Relationships

#### Grade 8 Math Worksheets

**A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.**

Table of Contents:

- Graphing Proportional Relationships
- Solved Examples
- FAQs

**Personalized Online Tutoring**

## Graphing Proportional Relationships - Grade 8 Math Worksheet PDF

This is a free worksheet with practice problems and answers. You can also work on it online.

Sign up with your email ID to access this free worksheet.

### "We really love eTutorWorld!"

*"We really love etutorworld!. **Anand S and Pooja are excellent math teachers and are quick to respond with requests to tutor on any math topic!" - Kieran Y (via TrustSpot.io)*

### "My daughter gets distracted easily"

*"My daughter gets distracted very easily and Ms. Medini and other teachers were patient with her and redirected her back to the courses.*

* With the help of Etutorworld, my daughter has been now selected in *

*the*

**Gifted and Talented Program**for the school district"*- Nivea Sharma (via TrustSpot.io)*

## Graphing Proportional Relationships

Graphing proportional relationships involves plotting points on a coordinate plane and connecting them with a straight line.

#### Here’s how to do it:

1. Understand what proportional relationships are. A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if you have a recipe that calls for 2 cups of flour for every 1 cup of milk, this is a proportional relationship.

2. Determine the values for the two quantities. For example, if you’re graphing the proportional relationship between the number of hours worked and the amount earned, you’ll need to determine the values for both hours worked and amount earned.

3. Choose a scale for the axes. The scale should be large enough to fit all of the data points, but small enough to show the relationship clearly.

4. Plot the data points on the coordinate plane. Each data point represents a pair of values for the two quantities. For example, if you worked 2 hours and earned $20, you would plot the point (2, 20).

5. Connect the points with a straight line. The line should pass through all of the data points. If the relationship is proportional, the line should be straight and pass through the origin (0,0).

6. Label the axes with the units of measurement. For example, if you’re graphing the relationship between the number of hours worked and the amount earned, you would label the x-axis “Hours Worked” and the y-axis “Amount Earned ($)”.

By graphing proportional relationships, you can visualize the relationship between two quantities and see how they change together. This can be useful for understanding patterns and making predictions.

*“**There have been times when we booked them last minute, but the teachers have been extremely well-prepared and the help desk at etutorworld is very prompt. *

*Our kid is doing much better with a higher score.**”*

### 8th Grade Tutoring

eTutorWorld offers **Personalized Online Tutoring** for Math, Science, English, and Standardised Tests.

Our Tutoring Packs start at just under** $22.49 per hour**, and come with a moneyback guarantee.

**Schedule a FREE Trial Session**, and experience quality tutoring for yourself. (No credit card required.)

**Solved Examples **

If you travel 300 miles in 6 hours, how far can you travel in 8 hours?

To graph this proportional relationship, you would plot the point (6, 300) and then extend the line to find the point at 8 hours. However, without a diagram, you can use the proportional relationship to solve for the missing value. Since the ratio of distance to time is constant, we can write the equation:

distance/time = constant

Solving for the constant, we get:

300/6 = constant

constant = 50

Now we can use the constant to find the distance traveled in 8 hours:

distance/8 = 50

distance = 400 miles

Therefore, you can travel 400 miles in 8 hours.

If you can paint a room in 6 hours, how long will it take you to paint 3 rooms?

To graph this proportional relationship, you would plot the point (1, 6) and then extend the line to find the time for painting 3 rooms. However, without a diagram, you can use the proportional relationship to solve for the missing value. Since the ratio of rooms painted to time is constant, we can write the equation:

rooms/time = constant

Solving for the constant, we get:

1/6 = constant

constant = 1/6

Now we can use the constant to find the time to paint 3 rooms:

3/time = 1/6

time = 18 hours

Therefore, it will take 18 hours to paint 3 rooms.

If a car uses 5 gallons of gas to travel 100 miles, how many gallons of gas will it use to travel 250 miles?

To graph this proportional relationship, you would plot the point (100, 5) and then extend the line to find the point for 250 miles. However, without a diagram, you can use the proportional relationship to solve for the missing value. Since the ratio of gas used to distance traveled is constant, we can write the equation:

gas/distance = constant

Solving for the constant, we get:

5/100 = constant

constant = 0.05

Now we can use the constant to find the gas used to travel 250 miles:

gas/250 = 0.05

gas = 12.5 gallons

Therefore, the car will use 12.5 gallons of gas to travel 250 miles.

### Do You Stack Up Against the Best?

If you have 30 minutes, try our free diagnostics test and assess your skills.

## FAQS

##### What is a proportional relationship?

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant. For example, if the ratio of distance to time is constant, then the relationship between distance and time is proportional.

##### How do you graph a proportional relationship?

To graph a proportional relationship, you plot the data points on a coordinate plane and connect them with a straight line. The line should pass through all of the data points, and if the relationship is proportional, the line should be straight and pass through the origin (0,0).

##### What is the equation for a proportional relationship?

The equation for a proportional relationship is y = kx, where y is the dependent variable, x is the independent variable, and k is the constant of proportionality.

##### How do you find the constant of proportionality?

To find the constant of proportionality, you can use the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable. The constant of proportionality represents the ratio of the dependent variable to the independent variable.

##### What are some real-world examples of proportional relationships?

Real-world examples of proportional relationships include distance traveled and time taken, speed and distance, cost and quantity, and weight and price.

##### How do you use graphing proportional relationships to make predictions?

By graphing proportional relationships, you can see the relationship between two quantities and use the line of best fit to make predictions. For example, if you know the distance traveled and the time taken, you can use the line of best fit to predict the time taken for a different distance traveled.

**Gloria Mathew** writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

### Affordable Tutoring Now Starts at Just $22.49

eTutorWorld offers affordable one-on-one live tutoring over the web for Grades K-12. We are also a leading provider of Test Prep help for Standardized Tests (SCAT, CogAT, MAP, SSAT, SAT, ACT, ISEE, and AP).

What makes eTutorWorld stand apart are: flexibility in lesson scheduling, quality of hand-picked tutors, assignment of tutors based on academic counseling and diagnostic tests of each student, and our 100% money-back guarantee.

Whether you have never tried personalized online tutoring before or are looking for better tutors and flexibility at an affordable price point, schedule a **FREE TRIAL **Session with us today.

**There is no purchase obligation or credit card requirement*

## Grade 8 Science Worksheets

- Earth & Space Science
- Physical Science
- Life Science
- Chemistry
- Structure of Atom (Basic)
- Fossils
- Bio Classification
- Sedimentary Rock
- Chemical Reaction
- Climate
- Compounds and Mixtures
- The Universe
- Dynamics of our solar system
- Organization of the universe, and its development
- Earth Systems
- Rocks and Fossils
- Sources of energy that power the subsystems and cycles of the dynamic earth: the geosphere, hydrosphere, atmosphere and biosphere
- Heredity
- Evolutionary Theory
- Structure and function of the cell.
- Chromosomes, genes, and the molecular basis of heredity
- Interdependence of organisms and their interaction with the physical environment
- Behavior of animals
- Understanding biological evolution
- How Living things are classified
- How Living Systems live
- Life Cycle of living things
- Structure of the atom
- States and properties of matter
- Changes in States Of Matter
- Chemical properties of Matter
- Structure of matter
- Conservation of matter
- Basics of chemical reactions
- Forces and Motion
- Laws and Formulas Of Motion

## IN THE NEWS

Our mission is to provide high quality online tutoring services, using state of the art Internet technology, to school students worldwide.

**Online test prep and practice**

SCAT

SSAT

ISEE

PSAT

SAT

ACT

AP Exam

**Science Tutoring**

Physics Tutoring

Chemistry Tutoring

Biology Tutoring

**Math Tutoring**

Pre-Algebra Tutoring

Algebra Tutoring

Pre Calculus Tutoring

Calculus Tutoring

Geometry Tutoring

Trigonometry Tutoring

Statistics Tutoring

**Quick links**

Free Worksheets

Fact sheet

Sales Partner Opportunities

Parents

Passive Fundraising

Virtual Fundraising

Our Expert Tutors

Safe and Secure Tutoring

Interactive Online Tutoring

After School Tutoring

Elementary School Tutoring

Middle School Tutoring

High School Tutoring

Home Work Help

Math Tutors New York City

Press

©2022 eTutorWorld Terms of use Privacy Policy Site by Little Red Bird

©2022 eTutorWorld

Terms of use

Privacy Policy

Site by Little Red Bird