Final answer:
The temperature at which the Fahrenheit scale is five times the Celsius scale is not in the given options. The correct temperature is found using the conversion formula, yielding 10°C which is equivalent to 50°F.
Step-by-step explanation:
We're asked to find the temperature at which the Fahrenheit scale reads five times the Celsius scale. We can set up the relationship using the conversion formula F = \(\frac{9}{5}C + 32\), where F stands for Fahrenheit and C stands for Celsius. We want to find the temperature T such that F = 5C. Plugging this into the conversion formula, we get 5C = \(\frac{9}{5}C + 32\). Multiplying both sides of the equation by 5 to eliminate fractions gives us 25C = 9C + 160. Solving for C, we subtract 9C from both sides to get 16C = 160, and dividing by 16 gives us C = 10. To find the Fahrenheit temperature, we can substitute back into either equation: F = 5 \times 10 = 50 degrees Fahrenheit. Therefore, the temperature at which the Fahrenheit scale is five times the Celsius scale is not listed in the options given (a) -40°C, (b) -100°C, (c) 0°C, or (d) 100°C, so it seems there might be a mistake in the question or the options provided.