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On a trip to Canada, you may wish to convert the local temperature from Celsius to Fahrenheit. Given the following formula, determine the temperature in degrees Fahrenheit ([tex]\( F \)[/tex]) if it is [tex]\( 15^{\circ} \)[/tex] Celsius ([tex]\( C \)[/tex]).

[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

The Fahrenheit temperature is [tex]\(\boxed{\phantom{00}}\)[/tex] degrees.

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GinnyAnsweridn
To determine the temperature in degrees Fahrenheit (°F) when the temperature in degrees Celsius (°C) is given, we need to use the formula that converts Celsius to Fahrenheit. The given formula is:

[tex]\[ C = \frac{5}{9}(F - 32) \][/tex]

Here, [tex]\( C \)[/tex] is the temperature in Celsius and [tex]\( F \)[/tex] is the temperature in Fahrenheit. We need to find [tex]\( F \)[/tex] when [tex]\( C = 15 \)[/tex].

First, substitute [tex]\( C = 15 \)[/tex] into the formula:

[tex]\[ 15 = \frac{5}{9}(F - 32) \][/tex]

Next, to eliminate the fraction, multiply both sides of the equation by 9:

[tex]\[ 15 \times 9 = 5(F - 32) \][/tex]

[tex]\[ 135 = 5(F - 32) \][/tex]

Then, divide both sides by 5 to isolate [tex]\( F - 32 \)[/tex]:

[tex]\[ \frac{135}{5} = F - 32 \][/tex]

[tex]\[ 27 = F - 32 \][/tex]

Now, add 32 to both sides to solve for [tex]\( F \)[/tex]:

[tex]\[ 27 + 32 = F \][/tex]

[tex]\[ 59 = F \][/tex]

Therefore, the temperature in degrees Fahrenheit is [tex]\( 59 \)[/tex] degrees.
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