Introduction to proportional relation:
If two quantities vary uniformly such that when one increase the other also increase or when one decrease the other one also decrease then the they are said to be in direct proportion. If two quantities are very that is one increase the other one is decrease then they are said to be inverse proportional relation. In this article we shall discuss proportional relation with example problem.I like to share this Dispersion Relation with you all through my article.
Proportional Relation Example Problem
Example:
A man takes 4 hours to travel 350 miles. How many miles the man travels in 6 hours?
Solution:
Step 1:
Consider the problem as If the person takes 4 hour then the he travel 350miles. If he takes 6 hours then how many miles he travels?
Step 2:
The proportional relationship direct:
4=>350
6=>`6/4 ` x350
=>525
Answer:
Therefore the person traveled 525 miles in 6 hours
Example:
A man purchases 25 articles at `$` 6 each. How many articles can be purchased at the same amount of `$` 50 each?
Solution:
Here the proportions relation is inverse proportion
Cost per article Number of article
6 25
50 ?
As cost increase number if article decreases.
Here 6: 50 = x: 25
50 × x = 6 × 25
x = 6 × `25/50` =3
Therefore number of article for the same amount = 3
Example:
It takes 5 workers 9 hours to repair a machine. How long will it take 12 workers to do the same work they work at the same rate?
Step 1:
Consider the problem as If 5 workers then take 9 hours to complete a job. If 12 workers then how many hour need to repair the same machine?
Step 2:
The inverse proportional relationship:
5 workers => 9 hours
12 workers=>`5/12` x 9
=>`45/12`
Therefore 3.75 hours need to repair a machine
I have recently faced lot of problem while learning need help with math homework for free, But thank to online resources of math which helped me to learn myself easily on net.
Proportion Relation Practice Problem
Problem:
It takes 6 workers 9 hours to repair a machine. How long will it take 10 workers to do the same work they work at the same rate?
Answer:
Therefore 5.4 hours need to repair a machine
Problem:
A man takes 6 hours to travel 450 miles. How many miles the man travels in 8 hours?
Answer:
The person traveled 600 miles in 8 hours
If two quantities vary uniformly such that when one increase the other also increase or when one decrease the other one also decrease then the they are said to be in direct proportion. If two quantities are very that is one increase the other one is decrease then they are said to be inverse proportional relation. In this article we shall discuss proportional relation with example problem.I like to share this Dispersion Relation with you all through my article.
Proportional Relation Example Problem
Example:
A man takes 4 hours to travel 350 miles. How many miles the man travels in 6 hours?
Solution:
Step 1:
Consider the problem as If the person takes 4 hour then the he travel 350miles. If he takes 6 hours then how many miles he travels?
Step 2:
The proportional relationship direct:
4=>350
6=>`6/4 ` x350
=>525
Answer:
Therefore the person traveled 525 miles in 6 hours
Example:
A man purchases 25 articles at `$` 6 each. How many articles can be purchased at the same amount of `$` 50 each?
Solution:
Here the proportions relation is inverse proportion
Cost per article Number of article
6 25
50 ?
As cost increase number if article decreases.
Here 6: 50 = x: 25
50 × x = 6 × 25
x = 6 × `25/50` =3
Therefore number of article for the same amount = 3
Example:
It takes 5 workers 9 hours to repair a machine. How long will it take 12 workers to do the same work they work at the same rate?
Step 1:
Consider the problem as If 5 workers then take 9 hours to complete a job. If 12 workers then how many hour need to repair the same machine?
Step 2:
The inverse proportional relationship:
5 workers => 9 hours
12 workers=>`5/12` x 9
=>`45/12`
Therefore 3.75 hours need to repair a machine
I have recently faced lot of problem while learning need help with math homework for free, But thank to online resources of math which helped me to learn myself easily on net.
Proportion Relation Practice Problem
Problem:
It takes 6 workers 9 hours to repair a machine. How long will it take 10 workers to do the same work they work at the same rate?
Answer:
Therefore 5.4 hours need to repair a machine
Problem:
A man takes 6 hours to travel 450 miles. How many miles the man travels in 8 hours?
Answer:
The person traveled 600 miles in 8 hours
No comments:
Post a Comment