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Change of subject and Real-world Application: The relationships between temperature in Celsius (C) and Fahrenheit (F) is given by the formula: F = 9/5 C + 32

Mathematics

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Step-by-step solution

3 steps

The problem asks to change the subject of the formula from FF to CC. The given formula is:

F=95C+32F = \frac{9}{5}C + 32

  1. Subtract 32 from both sides of the equation to isolate the term containing CC.

    F−32=95CF - 32 = \frac{9}{5}C

  2. Multiply both sides of the equation by 59\frac{5}{9} to solve for CC.

    59(F−32)=59×95C\frac{5}{9}(F - 32) = \frac{5}{9} \times \frac{9}{5}C 59(F−32)=C\frac{5}{9}(F - 32) = C

  3. Rearrange the equation to have CC on the left side.

    C=59(F−32)C = \frac{5}{9}(F - 32)

    The formula with CC as the subject is:

    C=59(F−32)\boxed{C = \frac{5}{9}(F - 32)}
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