To convert the temperature from Celsius to Fahrenheit, you can use the given formula:
[tex]\[ T_{\left( ^{\circ}F \right)} = \frac{9}{5} \times T_{\left( ^{\circ}C \right)} + 32 \][/tex]
We are given that the temperature on Jessica’s patio is [tex]\( 18^{\circ}C \)[/tex]. Plug this value into the formula:
1. Start by multiplying 18 (degrees Celsius) by [tex]\(\frac{9}{5}\)[/tex]:
[tex]\[ \frac{9}{5} \times 18 = \frac{9 \times 18}{5} \][/tex]
2. Calculate [tex]\( 9 \times 18 \)[/tex]:
[tex]\[ 9 \times 18 = 162 \][/tex]
3. Now divide 162 by 5:
[tex]\[ \frac{162}{5} = 32.4 \][/tex]
4. Finally, add 32 to 32.4 to convert to Fahrenheit:
[tex]\[ 32.4 + 32 = 64.4 \][/tex]
Therefore, the temperature on Jessica's patio in Fahrenheit is [tex]\( 64.4^{\circ}F \)[/tex].