A faulty thermometer reads 1.05°C at the ice point and 106°C at the steam point. What will this thermometer read when the standard thermometer reads -0.5°C?

• Standard Celsius Thermometer ($T_s$):
  • Ice point ($T_{s,ice}$) = $0^\circ C$
  • Steam point ($T_{s,steam}$) = $100^\circ C$
• Faulty Thermometer ($T_f$):
  • Reading at ice point ($T_{f,ice}$) = $1.05^\circ C$ (when $T_s = 0^\circ C$)
  • Reading at steam point ($T_{f,steam}$) = $106^\circ C$ (when $T_s = 100^\circ C$)

The relationship between two linear temperature scales can be expressed as:

Rounding to three decimal places, the temperature on the faulty thermometer is:

The temperature measured by the faulty thermometer when the original thermometer measures $-0.5^\circ C$ will be $\boxed{\text{0.525}^\circ C}$.