As Ashley packs for her trip to Cancun, she looks up the average daily temperature for Cancun in July. She finds that this is the hottest month to visit Mexico with an average daily temperature of [tex]28^{\circ} C[/tex]. She knows that [tex]F=\frac{9}{5} C+32[/tex], where [tex]F[/tex] represents degrees in Fahrenheit and [tex]C[/tex] represents degrees Celsius.

About what temperature should she expect in degrees Fahrenheit? Round to the nearest whole degree.



Answer :

To determine the average daily temperature in degrees Fahrenheit that Ashley should expect in Cancun, we need to convert the given temperature from Celsius to Fahrenheit using the conversion formula: [tex]\( F = \frac{9}{5}C + 32 \)[/tex].

1. Identify the given average temperature in degrees Celsius:
[tex]\[ C = 28^{\circ}C \][/tex]

2. Apply the conversion formula [tex]\( F = \frac{9}{5}C + 32 \)[/tex]:

- First, calculate [tex]\(\frac{9}{5}\)[/tex] times the Celsius temperature:
[tex]\[ \frac{9}{5} \times 28 = 50.4 \][/tex]

- Next, add 32 to the result:
[tex]\[ 50.4 + 32 = 82.4 \][/tex]

3. Determine the temperature in degrees Fahrenheit after conversion:
[tex]\[ F = 82.4^{\circ}F \][/tex]

4. Round the temperature to the nearest whole degree:
[tex]\[ 82.4 \approx 82 \][/tex]

Therefore, Ashley should expect an average daily temperature of approximately [tex]\( 82^{\circ}F \)[/tex] in Cancun.