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Part 1

A certain substance does not become a gas until temperatures are greater than or equal to 

500500degrees°C. 

Find the Fahrenheit temperatures for which the substance is a gas.​ (Use the formula 

Fequals=nine fifths95Cplus+​32.)

To solve this problem, we need to find the Fahrenheit temperatures for which the substance is a gas, given that it becomes a gas at temperatures greater than or equal to \(500^\circ C\).

### Step 1: Write down the conversion formula
The formula to convert Celsius to Fahrenheit is:
\[
F = \frac{9}{5}C + 32
\]

### Step 2: Substitute \(C = 500\) into the formula
Substitute \(C = 500\) into the formula to find the corresponding Fahrenheit temperature:
\[
F = \frac{9}{5}(500) + 32
\]

### Step 3: Perform the calculations
1. Calculate \(\frac{9}{5} \times 500\):
\[
\frac{9}{5} \times 500 = 900
\]

2. Add 32 to the result:
\[
900 + 32 = 932
\]

### Conclusion:
The substance becomes a gas at temperatures greater than or equal to \(500^\circ C\), which corresponds to Fahrenheit temperatures greater than or equal to \(932^\circ F\).

Would you like any details or have any questions?

Here are 5 related questions:
1. What would be the Fahrenheit temperature for \(C = 0^\circ\) (freezing point of water)?
2. How do we convert Fahrenheit back to Celsius?
3. What if the substance became a gas at \(600^\circ C\)? What would be the corresponding Fahrenheit temperature?
4. How would the formula change if we were converting Kelvin to Fahrenheit?
5. Can you graph the relationship between Celsius and Fahrenheit?

**Tip:** Always ensure you substitute values correctly in conversion formulas and double-check your arithmetic.

Learn how to convert temperatures from Celsius to Fahrenheit using the formula F = (9/5)C + 32. This problem involves finding the Fahrenheit temperature at which a substance becomes a gas when Celsius temperatures reach or exceed 500°C. Suitable for students in Grades 7-9.

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