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a. Write the equation of a line that shows the relationship between degrees Fahrenheit and degrees Celsius. b. What is the temperature in Fahrenheit when it is 17 C? c. What is the temperature in Celsius when it is 79 F?

User Mowshon
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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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User Dygestor
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