My Math Forum Inverse Variation Questions

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 April 25th, 2017, 01:24 PM #1 Senior Member   Joined: Jan 2017 From: US Posts: 120 Thanks: 6 Inverse Variation Questions Here are a few different questions that have to do with inverse variation in algebra, that I would like to understand better. Could someone point me in the right direction as far as how I would set up these problems? You don't need to answer all of them, I would just like to know how to go about these types of problems. Thanks in advance! 1) Assume that i varies inversely with d$\displaystyle ^2$. If i = 6 when d = 3, then i = 29/2 when d = 2. True or False? 2) Suppose y varies inversely with x. If y = 4 when x = 14, what is the value of y when x = 21? 3) Suppose y varies inversely with x. If y = 3 when x = 2, what is the value of x when y = 5? 4) Suppose y varies inversely with x. If y = 12 when x = 10, what is the value of the constant of variation? 5) Express as a formula: The value p of a house varies inversely with its age q.
 April 25th, 2017, 03:22 PM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,136 Thanks: 1003 Are these problems from your math teacher?
April 25th, 2017, 03:30 PM   #3
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Quote:
 Originally Posted by Denis Are these problems from your math teacher?
They are in my algebra textbook. Why?

April 25th, 2017, 03:36 PM   #4
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 Originally Posted by Indigo28 They are in my algebra textbook. Why?

April 25th, 2017, 03:40 PM   #5
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 Originally Posted by Denis Why? Now we know you have no teacher to help you
Ok. Well, theoretically, I could ask my teacher for help if I really needed it. However, I figured I might get just as good of answers on a forum where everyone is helpful, and ready to answer questions like this.

April 26th, 2017, 09:15 AM   #6
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Quote:
 Originally Posted by Indigo28 Here are a few different questions that have to do with inverse variation in algebra, that I would like to understand better. Could someone point me in the right direction as far as how I would set up these problems? You don't need to answer all of them, I would just like to know how to go about these types of problems. Thanks in advance! 1) Assume that i varies inversely with d$\displaystyle ^2$. If i = 6 when d = 3, then i = 29/2 when d = 2. True or False?
Whoever gave you these problems expects you to know what "inverse variation" means! If "A is inversely proportional to B" then B= k/A or AB= k for some constant, k. "If i= 6 when d= 3" then id= 3*6= 18= k. When d= 2, id= 2i= 18. What is i?

The rest of these are done in exactly the same way.

Quote:
 2) Suppose y varies inversely with x. If y = 4 when x = 14, what is the value of y when x = 21? 3) Suppose y varies inversely with x. If y = 3 when x = 2, what is the value of x when y = 5? 4) Suppose y varies inversely with x. If y = 12 when x = 10, what is the value of the constant of variation? 5) Express as a formula: The value p of a house varies inversely with its age q.

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