1. The Body Mass Index (BMI) is a measure of an individual's body size and is calculated with the following formula. (mass in kg, and height in m) Healthy individuals should have a BMI between 18.5 and 25. A BMI below or above this range indicates an underweight or overweight person. a) Calculate the BMI of a person with a mass of 75 kg and a height of 1.80 m. b) What is the minimum weight required of a person 1.60 m tall to remain in the healthy BMI range? c) How tall is a person with a BMI of 24 and a mass of 90 kg?
2. As altitude above sea-level increases, the amount of available oxygen decreases as a result of lower air pressure. The following formula relates the altitude,akm, with the percentage of available oxygen compared to sea level,P. P= 100(0.884)^a To breathe properly, a mountain climber needs at least 40% of the sea-level concentration of oxygen. What is the highest altitude he can climb to without an oxygen mask? (You will need graphing technology to solve.)
3. The number of calories,C, burned by a runner is related to the runner's mass,mkg, and the distance run,dkm, by the formulaC=m xd x 1.036. (Note : You may like this formula written asC = 1.036md) a) How many calories does a 70 kg runner burn from running 15 km? b) How far does a 58 kg person need to run in order to burn 1000 calories?
4. Solve for x. Round to 3 decimal places. a) x³= 15 b) x¹⁰= 1000