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.

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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.