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.