Formulas and Applications Kamal Hennayake. Introduction A formula is an equation that uses letters to express relationship between two or more variables.

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Presentation transcript:

Formulas and Applications Kamal Hennayake

Introduction A formula is an equation that uses letters to express relationship between two or more variables. A mathematical model is a formula or algebraic equation that can be formed from a verbal model or from actual data.

Example Write the phrase “the quotient of 12 and a number, decreased by 3 times the number” as an algebraic expression. Solution: Let x be the number. The quotient of 12 and a number:

Example 1 Write the phrase “the quotient of 12 and a number, decreased by 3 times the number” as an algebraic expression. Solution: Let x be the number. The quotient of 12 and a number decreased by 3 times the number:

Steps for Setting up Applied Problems Read the problem carefully, perhaps two or three times. (What are we looking for?). Assign a letter (variable) to represent what we are looking for. Make a list of all the known facts, and translate them into mathematical expressions or an equation. Solve the equation for the variable and then answer the given question.