- #1
Having a problem with inverse proportion
- Thread starter mc2_phy
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In summary, the conversation involves a user seeking help on solving a question and providing an attempt with a file attached. The question involves finding the value of a constant in an equation where b is inversely proportional to a^2.
- #2
Saitama
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Hello mc2_phy, welcome to PF! 
As per the rules, you need to show us your attempt before asking for help. :)
As per the rules, you need to show us your attempt before asking for help. :)
- #3
mc2_phy
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I have attached a file of attempt :) Dont know how to find x
- #4
Saitama
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mc2_phy said:
For which question have you posted this attempt?
Lets take the second for instance where b is inversely proportional to a^2.
We can write ##b \propto \frac{1}{a^2}##. Removing the proportionality sign, ##b =\frac{k}{a^2}## where ##k## is some constant.
Substitute ##a## and ##b##, find the value of k.
1. What is inverse proportion?
Inverse proportion is a mathematical relationship between two variables where an increase in one variable leads to a decrease in the other variable, and vice versa. This means that as one variable gets larger, the other gets smaller and vice versa.
2. How do you solve problems involving inverse proportion?
To solve problems involving inverse proportion, you can use the formula: x1y1 = x2y2, where x1 and y1 are the initial values and x2 and y2 are the new values after the change. You can also use ratios, where the two variables have an inverse relationship.
3. What are some real-life examples of inverse proportion?
Some real-life examples of inverse proportion include the relationship between speed and time, where an increase in speed leads to a decrease in time, and the relationship between the number of workers and the time it takes to complete a task, where an increase in the number of workers leads to a decrease in the time it takes to complete the task.
4. How does inverse proportion differ from direct proportion?
Inverse proportion and direct proportion are two mathematical relationships between two variables. In inverse proportion, the two variables have an inverse relationship, whereas in direct proportion, the two variables have a direct relationship, meaning that an increase in one variable leads to an increase in the other variable.
5. What are some tips for solving problems involving inverse proportion?
Some tips for solving problems involving inverse proportion include setting up a table with the initial and new values, using the formula or ratios, and making sure to label the variables correctly. It is also helpful to check your answer by plugging in the values to make sure they follow the inverse proportion relationship.
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