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Write an equation to relate the temperature in degrees Celsius to the temperature in degrees Fahrenheit. Then determine the Fahrenheit temperature that is equivalent to 25°C

The problem asks for an equation that relates degrees Celsius (C) to degrees Fahrenheit (F), and then for the Fahrenheit equivalent of 25°C.

### 1. Writing the equation

From the problem, the relationship between Celsius and Fahrenheit is described as:
\[
C = \frac{5}{9} \times (F - 32)
\]
This equation states that the temperature in Celsius is equal to five-ninths times the difference between the temperature in Fahrenheit and 32.

### 2. Finding the Fahrenheit temperature equivalent to 25°C

To determine the Fahrenheit temperature for \( C = 25^\circ C \), substitute \( C = 25 \) into the equation:
\[
25 = \frac{5}{9} \times (F - 32)
\]
Now, solve for \( F \):

- Multiply both sides by 9 to eliminate the fraction:
\[
9 \times 25 = 5 \times (F - 32)
\]
\[
225 = 5 \times (F - 32)
\]

- Divide both sides by 5:
\[
45 = F - 32
\]

- Add 32 to both sides to solve for \( F \):
\[
F = 45 + 32 = 77
\]

### Final Answer:
The Fahrenheit equivalent of 25°C is **77°F**.

Let me know if you want more details or have any questions!

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Here are 5 related questions to expand your understanding:

1. What is the Fahrenheit equivalent of 0°C?
2. How would you rearrange the equation to solve for Fahrenheit in terms of Celsius?
3. How does the slope \( \frac{5}{9} \) affect the rate of change between Celsius and Fahrenheit?
4. How would you convert 77°F back to Celsius to verify the result?
5. What is the Celsius equivalent of the boiling point of water, 212°F?

**Tip:** Always remember the formula \( C = \frac{5}{9} (F - 32) \) and \( F = \frac{9}{5}C + 32 \) for converting temperatures between Celsius and Fahrenheit.

Write an equation to relate the temperature in degrees Celsius to the temperature in degrees Fahrenheit. Then determine the Fahrenheit temperature that is equivalent to 25°C.

Learn how to write an equation that relates Celsius to Fahrenheit temperatures and determine the Fahrenheit equivalent of 25°C. This tutorial covers key concepts such as temperature conversion formulas and algebraic manipulation. Suitable for Grades 7-9.

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