Label Conversion factor (Temperature)

[kewlergel]

Homework Statement

On a hypothetical temperature scales X and Y, the ice and steam points of water are 30 and 150, and -15 and 200° respectively
a. 32 X° is equivalent to how many Y°
b. 100 °X is equivalent to how many K?

Homework Equations

Given value - (ice point)/ steam point = Unknown - (ice point)/ steam point - (ice point)

The Attempt at a Solution

32-(30)/150-(30) = Y-(-15)/200-(-15)
My answer is incorrect!

 

[gneill]

Homework Statement

On a hypothetical temperature scales X and Y, the ice and steam points of water are 30 and 150, and -15 and 200° respectively
a. 32 X° is equivalent to how many Y°
b. 100 °X is equivalent to how many K?

Homework Equations

Given value - (ice point)/ steam point = Unknown - (ice point)/ steam point - (ice point)

The Attempt at a Solution

32-(30)/150-(30) = Y-(-15)/200-(-15)
My answer is incorrect!

Hi kewlergel, Welcome to Physics Forums.

I don't follow logic of your Relevant Equation; it could just be my thick-headedness

However, since temperature scales are linear you would expect there to be a linear relationship between the two scales: one of the form y = mx + b. You have data points for particular equivalent values from each scale, so why not set up the equations to solve for m and b?