Answered

On a trip to Canada, you may wish to convert the local temperature from Celsius to Fahrenheit.

Given the formula [tex]\( C = \frac{5}{9}(F - 32) \)[/tex], determine the temperature in degrees Fahrenheit (F) if it is [tex]\( 15^{\circ} \)[/tex] Celsius (C).



Answer :

To determine the temperature in degrees Fahrenheit (F) when it is 15°C (Celsius), we use the conversion formula between Celsius and Fahrenheit. The formula can be rearranged to directly convert from Celsius to Fahrenheit as follows:

[tex]\[ F = \left(\frac{9}{5} \times C\right) + 32 \][/tex]

Let's break down the steps for converting 15°C to Fahrenheit using this formula:

1. Multiply the Celsius temperature by the fraction 9/5:
[tex]\[ \frac{9}{5} \times 15 \][/tex]

2. Calculate the result of this multiplication:
[tex]\[ \frac{9}{5} \times 15 = 27 \][/tex]

3. Add 32 to the result to convert to Fahrenheit:
[tex]\[ 27 + 32 = 59 \][/tex]

Thus, the temperature in Fahrenheit when it is 15°C is:

[tex]\[ \boxed{59.0 \text{ degrees Fahrenheit}} \][/tex]