Final answer:
The temperatures in degrees Fahrenheit need to be converted to Celsius and then used to write the range as an inequality. After conversion, the range is 8.33°C ≤ T ≤ 38.89°C. Since none of the provided options match exactly and could contain typos, the closest option rounding to the nearest whole number is b) 47°C ≤ T ≤ 102°C, but this doesn't accurately reflect the conversion.
Step-by-step explanation:
The maximum degrees in Florida was 102 degrees Fahrenheit and the minimum was 47 degrees Fahrenheit. To express this range of temperatures in degrees Celsius, we need to convert the Fahrenheit temperatures to Celsius and then write an inequality to describe the range.
First, we use the formula to convert Fahrenheit to Celsius: Tc = (T f - 32) × 5/9, where Tc is the temperature in Celsius and T f is the temperature in Fahrenheit.
For the maximum temperature of 102 degrees Fahrenheit, it converts to Celsius as follows: (102 - 32) × 5/9 ≈ 38.89°C.
For the minimum temperature of 47 degrees Fahrenheit, it converts to Celsius as follows: (47 - 32) × 5/9 ≈ 8.33°C.
Therefore, the range of temperatures in degrees Celsius can be represented by the inequality 8.33°C ≤ T ≤ 38.89°C.
Comparing this to the given options, none matches exactly. However, the best option that approximates this temperature range, assuming we round the values to the nearest whole number, would be:
b) 47°C ≤ T ≤ 102°C
Given that 47°C and 102°C do not match the converted temperatures exactly, it seems like there might be a typo in the provided options. The inequalities should use the converted Celsius values, and since both the minimum and maximum temperatures include the endpoints of the range, the inequality should use 'less than or equal to' signs.