This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Recall the relationship between temperature differences in Fahrenheit and Celsius. The conversion formula from Celsius (C) to Fahrenheit (F) is F = C × (9)/(5) + 32. To find the relationship between temperature differences, consider two temperatures C_1 and C_2 in Celsius, and their corresponding Fahrenheit temperatures F_1 and F_2. F_1 = C_1 × (9)/(5) + 32 F_2 = C_2 × (9)/(5) + 32 The difference in Fahrenheit is F = F_2 - F_1. F = (C_2 × (9)/(5) + 32) - (C_1 × (9)/(5) + 32) F = C_2 × (9)/(5) - C_1 × (9)/(5) F = (C_2 - C_1) × (9)/(5) Let C = C_2 - C_1. So, the relationship is: F = C × (9)/(5) Step 2: Substitute the given Fahrenheit difference and solve for the Celsius difference. We are given that the difference on the Fahrenheit scale is 30^, so F = 30^. 30 = C × (9)/(5) To find C, multiply both sides by (5)/(9): C = 30 × (5)/(9) C = (150)/(9) C = (50)/(3) C ≈ 16.666...^ Step 3: Round the answer to one decimal place. C ≈ 16.7^ The correct option is 16.7 degrees Celsius. Send me the next one 📸