# The formula used to convert degrees Celsius to degrees Fahrenheit is: F=\frac{9}{5} C+ 32 Convert $59^{\circ} \mathrm{F}$ to degrees Celsius. Solve the formula for $C$, and then use it to convert the temperature. Which is the correct formula and conversion? A. $C=F- 32$; conversion: $59^{\circ} \mathrm{F}= 135^{\circ} \mathrm{C}$ B. $C=\frac{5}{9}(F- 32)$; conversion: $59^{\circ} \mathrm{F}= 15^{\circ} \mathrm{C}$ C. $C=\frac{5}{9}(F- 32)$; conversion: $59^{\circ} \mathrm{F}= 106^{\circ} \mathrm{C}$ D. $C=F- 32$; conversion: $59^{\circ} \mathrm{F}= 15^{\circ} \mathrm{C}$
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Answer

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Step 1
: Solve the given formula for C.

C = \frac{5}{9}(F-32).
To solve for C, we first subtract 32 from both sides of the equation:

Step 2
: Convert 59°F to degrees Celsius using the correct formula.

C = \frac{5}{9}(59-32) = \frac{5}{9} \times 27 = 15.
We found the correct formula in Step 1, so now we can use it to convert 59°F to Celsius:

Final Answer

The correct conversion is 59^{\circ} \mathrm{F} = 15^{\circ} \mathrm{C} (Option B).