From the C to the F

Algebra Level 3

9 C 5 + 32 = F \frac{9C}{5} + 32 = F

Above is the equation used for converting Celsius to Fahrenheit.

Below is an altered version which can be used to find a value of C C which is equivalent to n C nC in degrees Fahrenheit.

9 C 5 + 32 = n C \frac{9C}{5} + 32 = nC

There are infinitely many values of n n which satisfy the equation. Find the value of n n that doesn't.


The answer is 1.8.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Harsh Khatri
Feb 19, 2016

With a little bit of rearrangement we get:

C = 32 ( 9 5 n ) C= \frac{-32}{\big(\frac{9}{5} - n\big)}

The graph of C \displaystyle C vs n \displaystyle n is a hyperbola. Indeed there are infinitely many pairs ( C , n ) (C, n) satisfying the given equation. Now we need to look for the values of n \displaystyle n for which the curve is not defined, i.e., the asymptote. Here the asymptote is the line n = 9 5 \displaystyle n = \frac{9}{5} .

Thus, n = 1.8 n = \boxed{1.8} is the value of n n not satisfying given equation.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...