Lesson 8 Notes, Section 1.5A Solving a Formula for a given variableTo Solve a Formula for a Specified Variable:1. Get all terms with the variable being solved for on one side of the equation and allother terms on the other side. (This may require removing parentheses and combining ‘like’ terms.)2. Factor out the variable (if necessary).3. Divide both sides of the equation so that the variable is left.Examples:1)hhrV for 31 Solve22)mrmvF for Solve23)wpLhw for 22 Solve 4)bdbcba for Solve 5)mmphmr for Solve B Mathematical ModelsA mathematical model can be a formula, or a set of formulas, developed to represent a real-world situation.1st Math Model*25.704HWI This formula represent the body mass index (I) based on the person’s weight in pounds (W) and height in inches (H).*(Source: National Center for Health Statistics)Examples:1) Arnold Schwarzenegger is 6 feet 2 inches tall and has a body mass index of 30.2. Use the model above to find out how much he weighs.2) A small kennel is to be built using 76 feet of fencing. If the width is to be 13 feet,what is the length?3) Robert wants to invest $950 for five years and earn $285 interest. What is the interest rate he must seek?2nd Math Model*NLwrR)(400 This formula is used to establish a chess player’s rating (R) after the person has played N games, where w is the number of wins, L is the number of losses,and r is the average rating of the opponents.*(Source: U.S. Chess Federation)4) Val’s rating was 1050 after two wins and five losses in a tournament. What was the average rating of his opponents?3rd Math Model*)(6917 ahwk This formula represents the number of calories K needed each day by a moderately active woman who weight w pounds, is h inches tall, and is a years old.*(Source: M. Parker, She does Math, Mathematical Association of America, p. 96)5) Sandra is moderately active, 29 years old, 5 feet 6 inches tall. If she needs about 2000 calories a day, how much does she
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