Question

Q1 The following formula estimates an average person's lung capacity V (in liters, where 11-103 cm): V = 4.1 H-0.018 A-2.7 where H and A are the person's height (in meters) and age (in years), respectively. In this formula, what are the UNITS of the numbers 4.1, 0.018, and 2.7? In the year 2035, the Federal government instituted a Lung Capacity Tax: $0.00002 per year per ML. What is the tax on someone 40 years old and 6 feet tall? (assume 10 breaths per minute)

can u please help me answer this question and also please write clearly so I can understand thank you so much also please show all steps thank you so much

Answer 1

v = 4.1 H - 0.018 A - 2.7 since Linear equation, & unit of V is in litres (cm)^3. So units of 4.1 H, 0.018 A and 2.7 are also (cm) 0r litres. (unit of 4.1) times (unit of H) = cm^3 (unit of 4.1) = cm^3/m = cm^3/100 times 1 cm = 21 cm^2/100 or (cm)^2 similarly (unit of 0.018) = cm^3/(unit of A) = cm^3/(years) since year represented in seconds, so = cm^3/s. And unit of 2.7 = cm^3. Now, Given, A = 40 years. H = 6 feet H = 0.9144 metres (1 feet = o.3.48 metre) putting value in equation v = (4.1) (0.9144) - (0.018) (40) - 2.9 V = 0.33 litres = 0.33 times 10^3 times ml V = (0.33 times 10^3) ml assuming 10 breathes per minute, Breathes in one hour = 60 times 10 Breathes in one day = 60 times 10 times 24 breathes in one year = 60 times 10 24 times 365. So, the person will use his/her capacity (60 times 10 times