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Solving Real-World Problems with Literal Equations and Formulas

This guide explores how to use literal equations to solve real-world problems by manipulating formulas. One example illustrates the calculation of the width of a rectangular prism using the formula for volume (V = lwh). Given a volume of 79.04 cubic centimeters, a length of 5.2 centimeters, and a height of 4 centimeters, we can solve for width (w). Another example involves calculating the weight of a ballroom dancer based on the pressure exerted by their heel using P = W/H, where we find the weight given a heel width of 3 inches and a pressure of 30 pounds per square inch.

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Solving Real-World Problems with Literal Equations and Formulas

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  1. 2.8 Literal Equations Objective: Use formulas to solve real-world problems

  2. Example The formula for the volume of a rectangular prism is V=lwh where l is the length, w is the width, and h is the height. • Solve the formula for w. • Find the width of a rectangular prism that has a volume of 79.04 cubic centimeters, a length of 5.2 centimeters and a height of 4 centimeters

  3. Example The formula represents the amount o Of pressure exerted on the floor by a ballroom dancer’s heel. In this formula, P is the pressure in pounds per square inch, W is the weight of a person wearing the shoe in pounds, and H is the width of the heel of the shoe in inches.

  4. Example 2 Cont’d • Solve the formula for W • Find the weight of the dancer if the heel is 3 inches wide and the pressure exerted is 30 pounds per square inch.

  5. You Try Page 128 # 5

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