Given the equation $F = \frac{9}{5}C + 32$, where $C$ is the temperature in degrees Celsius and $F$ is the corresponding temperature in degrees Fahrenheit, and the ordered pairs $(5, F_1)$ and $(30, F_2)$, we can calculate the corresponding Fahrenheit temperatures for these Celsius values.

1. Calculating $F_1$ when $C = 5$:

$F_1 = \frac{9}{5}(5) + 32$ $F_1 = 9 + 32 = 41$

So, $F_1 = 41$.

2. Calculating $F_2$ when $C = 30$:

$F_2 = \frac{9}{5}(30) + 32$ $F_2 = 54 + 32 = 86$

So, $F_2 = 86$.

Final Ordered Pairs:

• $(5, 41)$
• $(30, 86)$

Would you like more details, or do you have any questions?

Here are 5 related questions to expand on this:

1. How do you convert Fahrenheit back to Celsius?
2. What is the relationship between Celsius and Kelvin?
3. What temperature in Fahrenheit corresponds to $C = -40$?
4. What temperature in Celsius corresponds to $F = 100$?
5. How do the formulas for temperature conversion relate to linear functions?

Tip: Always double-check the units and conversion formulas when working with temperature scales to avoid errors!