Answer all parts with clear steps

Q5 (20 marks) A general rule of thumb used by pilots is for every 1,000 feet of altitude, the temperature falls 3.5 F. a) Derive an expression for the temperature (F) as a function of altitude (ft). b) Using the expression derived in part a, derive an expression for the temperature in (C) as a function of altitude (m) c) If the temperature at sea level is 78 F, what would you expect the temperature to be at 10,000 feet in Celsius Assignment Guidelines: All relevant steps should be shown. For missing steps, points will be deducted. Pay attention to significant figures in all your calculations. Points will be deducted for missing units, and if the answer is not presented in the form as asked in the question Neatness should be maintained, points may be deducted for untidy work. It is the responsibility of every member to check, understand and agree on the submitted answers. 3