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Let t = ax + b

So that 32 = ax_i+ b

212 = ax_s+ b

Which gives, a=\frac{180}{x_s-x_i}, b=32-180\left[\frac{x_i}{x_s-x_i}\right]

t^{\circ} F =180\left[\frac{x-x_i}{x_s-x_i}\right]+32

Also, t^{\circ} C =100\left[\frac{x-x_i}{x_s-x_i}\right]

\therefore t°F = 1.8 t°C + 32

Now t°C = 290 – 273.15 = 16.85

\therefore t°F = 1.8 × 16.85 + 32 = 62.33