Evaluating and Solving Radical Functions

A person's Body Mass Index is calculated with the formula: BMI=(weightheight2)703BMI=(weightheight2)703 where weight is in pounds and height is in inches. If a person's BMI is above 25 and below 30, they are classified as overweight. If we solve this equation for height, we can determine how tall a person of a given weight should be if they have a BMI of 25. Our new Function is H(w)=703wbH(w)=703wb where H(w)H(w) is the person height in inches and ww is a person weight in pounds and bb is the person's Body Mass Index (BMI). Use the function to answer the following questions.

Determine how tall a person is if they weigh 150 pounds and they have a BMI of 25. Round your answer to one decimal place. The person that weights 150 pounds and has a BMI of 25 is about inches tall.

If a person is 72 inches tall and has a BMI of 25, determine their weight. A person that is 72 inches tall and has a BMI of 25 will weigh approximately pounds.