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The linear equation that converts Fahrenheit (F) to Celsius (C), is given by the relation $C = 5 F − 160 9$ . If the temperature is $0 ° C$ and $0 ° F$ , then what is the temperature in Fahrenheit and

in Celsius respectively?

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32 F ∘, − 160 9 C ∘

− 160 9 F ∘, 32 C ∘

− 160 F ∘, 32 C ∘

32 F ∘, − 160 C ∘

answer is A.

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Detailed Solution

Given

C = 5 F − 160 9

.
Substitute

C = 0 C ∘

C = 5 F − 160 9

Substitute

F = 0 F ∘ in C = 5 F − 160 9 .

⇒ C = 5 (0) − 160 9 ⇒ C = 0 − 160 9 ⇒ C = − 160 9 C ∘

Therefore, if

C = 0 C ∘

then

F = 32 F ∘

and

F = 0 F ∘

then

C = − 160 9 C ∘

.
Hence, option (1) is correct.

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