1. The problem is to understand and use the formula for converting Celsius ($°C$) to Fahrenheit ($°F$). 2. The formula given is $$f(x) = \frac{9}{5} \cdot x + 32$$ where $x$ is the temperature in Celsius and $f(x)$ is the temperature in Fahrenheit. 3. This formula shows a linear relationship between Celsius and Fahrenheit temperatures. The factor $\frac{9}{5}$ represents the proportional increase, and $32$ is the offset to adjust the freezing point of water from $0° C$ to $32° F$. 4. To convert $320° F$ to Celsius, we can rearrange the formula: $$x = \frac{5}{9} (f(x) - 32)$$ 5. Substitute $f(x) = 320$: $$x = \frac{5}{9} (320 - 32) = \frac{5}{9} \times 288 = 160° C$$ 6. To convert $1° C$ to Fahrenheit, use the original formula: $$f(1) = \frac{9}{5} \times 1 + 32 = 1.8 + 32 = 33.8° F$$ 7. The graph with radio buttons likely illustrates these proportional relationships and the linear function $f(x) = \frac{9}{5} x + 32$ visually. Final answers: - $320° F = 160° C$ - $1° C = 33.8° F$