To convert the temperature from Celsius to Fahrenheit, we will use the given formula:
[tex]\[ T _{\left({ }^{\circ} F \right)} = \frac{9}{5} \times T _{\left({ }^{\circ} C \right)} + 32. \][/tex]
Here's a step-by-step breakdown:
1. Identify the given temperature in Celsius:
The temperature on Jessica's patio is [tex]\( 18^{\circ} C \)[/tex].
2. Substitute the given temperature into the formula:
[tex]\[ T _{\left({ }^{\circ} F \right)} = \frac{9}{5} \times 18 + 32. \][/tex]
3. Perform the multiplication:
[tex]\[ \frac{9}{5} \times 18 = \frac{9 \times 18}{5} = \frac{162}{5} = 32.4. \][/tex]
4. Add 32 to the result from step 3:
[tex]\[ 32.4 + 32 = 64.4. \][/tex]
So, the temperature on Jessica’s patio in Fahrenheit is [tex]\( 64.4^{\circ} F \)[/tex].