To solve the equation \( c = \frac{5}{9} (f - 32) \) for \( f \), follow these steps:

1. **Multiply both sides by 9/5** to eliminate the fraction:
   \[
   \frac{9}{5} \cdot c = f - 32
   \]

2. **Add 32 to both sides** to isolate \( f \):
   \[
   f = \frac{9}{5} \cdot c + 32
   \]

So, the equation solved for \( f \) is:

\[
f = \frac{9}{5} \cdot c + 32
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the physical meaning of the equation \( c = \frac{5}{9} (f - 32) \)?
2. How do you convert a Celsius temperature back to Fahrenheit using the derived formula?
3. If \( c = 0 \), what is the corresponding value of \( f \)?
4. Can you graph the relationship between \( c \) and \( f \) using the derived equation?
5. What happens to the value of \( f \) as \( c \) increases?

**Tip:** Always check the units when working with temperature conversions to avoid confusion between Celsius and Fahrenheit.

Learn how to solve the equation c = (5/9) * (f - 32) for f step-by-step. This problem covers temperature conversion concepts, specifically converting Celsius to Fahrenheit using the given formula. Suitable for students in Grades 6-8.

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