Final answer:
The correction to be applied to the faulty Fahrenheit thermometer when it reads 206°F is to add 7.2°F, resulting in a true temperature reading of 213.2°F.
Step-by-step explanation:
The student is asking to find the correction that needs to be applied to a faulty Fahrenheit thermometer when it reads 206°F, given that the correct boiling point temperature is 212°F on the Fahrenheit scale and 100°C on the Celsius scale. First, we need to determine the difference between the correct and incorrect readings in Fahrenheit, which is 212°F - 206°F = 6°F. Next, we establish that the boiling point of water in Celsius is 100°C, and the correct thermometer reads 96°C, which is a 4°C discrepancy. Since 1°C is equivalent to 1.8°F, the corrected Fahrenheit temperature should be increased by 4°C × 1.8°F/°C = 7.2°F. Therefore, when the faulty thermometer reads 206°F, it is actually 206°F + 7.2°F = 213.2°F.