To convert the temperature from Celsius to Fahrenheit, we will use the given formula:
[tex]\[ T_{(\circ F)} = \frac{9}{5} \times T_{\left({ }^{\circ} C\right)} + 32 \][/tex]
Given the temperature in Celsius is [tex]\(18^{\circ} C\)[/tex]:
1. Substitute [tex]\(18\)[/tex] for [tex]\(T_{\left({ }^{\circ} C \right)}\)[/tex] in the formula:
[tex]\[ T_{(\circ F)} = \frac{9}{5} \times 18 + 32 \][/tex]
2. Now, let's perform the multiplication:
[tex]\[ \frac{9}{5} \times 18 = 32.4 \][/tex]
3. Next, add 32 to the result of the multiplication:
[tex]\[ 32.4 + 32 = 64.4 \][/tex]
Therefore, the temperature on Jessica's patio in Fahrenheit is [tex]\(64.4^{\circ} F\)[/tex].