# Math Help - Converting Farenheit to Arbitrary Scale

1. ## Converting Farenheit to Arbitrary Scale

Suppose you have designed a new thermometer called the X thermometer. On the X scale the boiling point of water is 121 and the freezing point of water is 20.
At what temperature will the readings on the Fahrenheit and X thermometers be the same?

trying to mess with slopes but I'm coming up short. any help?

2. Originally Posted by coolguy99
Suppose you have designed a new thermometer called the X thermometer. On the X scale the boiling point of water is 121 and the freezing point of water is 20.
At what temperature will the readings on the Fahrenheit and X thermometers be the same?

trying to mess with slopes but I'm coming up short. any help?
to fiend a formula for converting between F to X

at Fahrenheit the water boiling at 212 and freeze at 32 and in X 121 and 20 for freeze

$\frac{F-32}{212-32} = \frac{X-20}{121-20}$

$\frac{F-32}{180}=\frac{X-20}{101}$

you want the temperature where F=X sub X=F

$\frac{F-32}{180}=\frac{F-20}{101}$

find F value .....

3. Originally Posted by coolguy99
Suppose you have designed a new thermometer called the X thermometer. On the X scale the boiling point of water is 121 and the freezing point of water is 20.
At what temperature will the readings on the Fahrenheit and X thermometers be the same?

trying to mess with slopes but I'm coming up short. any help?
Amer has the math.

To help understand:
plot the two points: X along the x-axis, and F along the y-axis.

Along the x-axis at x=20, plot y=32
& at x=121, y=212

You can scale off the values (in either direction).
That will assist in finding the "slope" and intercept.