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May 2nd, 2017, 04:17 AM   #1
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Question I am not sure whether there is an equation to approach the value

My cousin was doing some maths, but he did not have any idea how to resolve it.
I don't know equation, so I post it here and hope someone kindly help him figure out whether there is an equation that can approximate the value of X.

Here are the results, but with an unknown value x: When

Altitude (y) = 0.119, f(y) = 4.9
Altitude (y) = 0.1199, f(y) = 4.99
Altitude (y) = 0.11999, f(y) = 4.999
Altitude (y) = 0.12, f(y) = x
Altitude (y) = 0.12001, f(y) = 5.001
Altitude (y) = 0.1201, f(y) = 5.01
Altitude (y) = 0.121, f(y) = 5.1

What is the value of x?

This is my first time posting a maths question in this forum; please forgive me if my questions violate the rules.

Thank you.

Last edited by skipjack; May 2nd, 2017 at 10:34 AM.
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May 2nd, 2017, 06:03 AM   #2
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here is one possible function that is continuous ...

$f(y) = 100y-7 \implies f(0.12) = 5$

then again, here is a function with a discontinuity at $y=0.12$, i.e., $f(0.12)$ is undefined, but will yield the same values as given in your table ...

$f(y) = \dfrac{(100y-7)(100y-12)}{100y-12}$
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May 2nd, 2017, 06:22 AM   #3
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Quote:
Originally Posted by kittystackexchange View Post
My cousin was doing some maths, but he did not have any idea how to resolve it.
Why can't your "cousin" ask for help on his own?
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May 2nd, 2017, 06:29 AM   #4
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Quote:
Originally Posted by Denis View Post
Why can't your "cousin" ask for help on his own?
Thank you Denis.
I can't tell you much about my profile.
(She is korean and her English isn't good enough)

Last edited by kittystackexchange; May 2nd, 2017 at 06:45 AM.
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May 2nd, 2017, 06:30 AM   #5
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Quote:
Originally Posted by skeeter View Post
here is one possible function that is continuous ...

$f(y) = 100y-7 \implies f(0.12) = 5$

then again, here is a function with a discontinuity at $y=0.12$, i.e., $f(0.12)$ is undefined, but will yield the same values as given in your table ...

$f(y) = \dfrac{(100y-7)(100y-12)}{100y-12}$
Many thanks for the quick help, skeeter!

Last edited by kittystackexchange; May 2nd, 2017 at 06:43 AM.
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May 2nd, 2017, 07:36 AM   #6
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I wanted to add some more information, but the edit button is gone
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May 2nd, 2017, 08:02 AM   #7
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Quote:
Originally Posted by kittystackexchange View Post
I wanted to add some more information, but the edit button is gone
"Quote" your post and edit for a new post ...
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