Let's go through the step-by-step solution to convert the given temperature from Celsius to Fahrenheit.
1. Write down the formula:
The formula to convert degrees Celsius (C) to degrees Fahrenheit (F) is:
[tex]\[
F = \frac{9}{5} C + 32
\][/tex]
2. Substitute 35 for [tex]\(C\)[/tex]:
Since Jin measures the temperature to be [tex]\(35^{\circ}C\)[/tex], we substitute [tex]\(C = 35\)[/tex] into the formula:
[tex]\[
F = \frac{9}{5} \times 35 + 32
\][/tex]
3. Use the order of operations to simplify:
According to the order of operations, we perform multiplication before addition.
- Do the multiplication first:
[tex]\[
\frac{9}{5} \times 35 = 9 \times 7 = 63
\][/tex]
- Do the addition:
[tex]\[
63 + 32 = 95
\][/tex]
4. Result:
Therefore, [tex]\(35^{\circ}C\)[/tex] is equal to [tex]\(95^{\circ}F\)[/tex].
### Evaluation of Statements:
- Do the multiplication first: True, which yields [tex]\(63\)[/tex].
- Do the addition first: False, we must do the multiplication before addition.
- [tex]\(35^{\circ}C\)[/tex] is [tex]\(95^{\circ}F\)[/tex]: True, as our final result confirms.
- [tex]\(35^{\circ}C\)[/tex] is [tex]\(138.6^{\circ}F\)[/tex]: False, [tex]\(35^{\circ}C\)[/tex] converts to [tex]\(95^{\circ}F\)[/tex].
Therefore, the correct statements are that you should do the multiplication first and that [tex]\(35^{\circ}C\)[/tex] is [tex]\(95^{\circ}F\)[/tex].
