Final answer:
The equation of a line relating Fahrenheit and Celsius is C = (5/9)(F - 32). When it is 17°C, the temperature in Fahrenheit is 62.6°F. When it is 79°F, the temperature in Celsius is 26.1°C.
Step-by-step explanation:
a. The equation of a line that shows the relationship between degrees Fahrenheit (F) and degrees Celsius (C) is given by the formula: C = (5/9)(F - 32).
b. To find the temperature in Fahrenheit when it is 17°C, we can use the formula and substitute the Celsius value: C = (5/9)(F - 32). Solving for F, we have: F = (C * (9/5)) + 32. Plugging in 17 for C, we get: F = (17 * (9/5)) + 32 = 62.6°F.
c. To find the temperature in Celsius when it is 79°F, we can again use the formula and substitute the Fahrenheit value: C = (5/9)(F - 32). Plugging in 79 for F, we get: C = (5/9)(79 - 32) = 26.1°C.
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