Alright, let's convert the temperature from Celsius to Fahrenheit step-by-step using the provided formula:
1. Write down the formula:
[tex]\[
F = \frac{9}{5}C + 32
\][/tex]
2. Substitute [tex]\( 35 \)[/tex] for [tex]\( C \)[/tex]:
[tex]\[
F = \frac{9}{5} \times 35 + 32
\][/tex]
3. Use the order of operations (PEMDAS/BODMAS) to simplify.
4. Do the multiplication first:
[tex]\[
\frac{9}{5} \times 35 = 63
\][/tex]
5. Do the addition next:
[tex]\[
63 + 32 = 95
\][/tex]
Therefore, the temperature [tex]\(35^{\circ} C\)[/tex] is [tex]\(95^{\circ} F\)[/tex].
Checking the options:
- "Do the multiplication first." ✅
- "Do the addition first." ❌ (Addition is done after multiplication as per the order of operations)
- "[tex]$35^{\circ} C$[/tex] is [tex]$95^{\circ} F$[/tex]." ✅
- "[tex]$35^{\circ} C$[/tex] is [tex]$138.6^{\circ} F$[/tex]." ❌ (This is incorrect based on our calculations)
Thus, the correct options are:
- Do the multiplication first.
- [tex]\(35^{\circ} C\)[/tex] is [tex]\(95^{\circ} F\)[/tex].
