Uncategorized: Practice Problem & Solution
On a new scale of temperature (which is linear) and called the W scale, the freezing and boiling points of water are $39^\circ\text{W}$ and $239^\circ\text{W}$ respectively. What will be the temperature on the new scale, corresponding to a temperature of $39^\circ\text{C}$ on the Celsius scale? (2008)
Solution Explained:
To solve this problem, we apply the core principles of Uncategorized. Understanding the underlying formula is key to arriving at the correct answer below:
Using temperature scale relation: $\frac{W - 39}{239 - 39} = \frac{C - 0}{100 - 0}$. Substituting $C = 39$: $\frac{W - 39}{200} = \frac{39}{100} \Rightarrow W - 39 = 78 \Rightarrow W = 117^\circ\text{W}$.
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