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The temperature T(d) in degrees Fahrenheit in terms of the Celsius temperature d is given by T(d) = 9/5 * d + 32
The temperature C(v) degrees Celsius in terms of the Kelvin temperature by C(v) = v - 273
Write a formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature
It is not necessary to simplify

Sagot :

xKelvin

Answer:

[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]

Step-by-step explanation:

The temperature T(d) in degrees Fahrenheit in terms of Celsius d is given by:

[tex]\displaystyle T(d)=\frac{9}{5}d+32[/tex]

And the temperature C(v) in degrees Celsius in terms of Kelvin v is given by:

[tex]C(v)=v-273[/tex]

We want the formula for the temperature F(v) in degrees Fahrenheit in terms of the Kelvin temperature.

So, we can use a composition of functions. Since T(d) outputs the temperature in Fahrenheit and C(v) inputs the temperature in Kelvin, T(C(v)) will be the temperature in Fahrenheit given the temperature in Kelvin. So:

[tex]\displaystyle T(C(v))=\frac{9}{5}(C(v)))+32[/tex]

Substitute:

[tex]\displaystyle T(C(v)) = F(v) = \frac{9}{5}(v-273)+32[/tex]

Therefore:

[tex]\displaystyle F(v) = \frac{9}{5}(v-273)+32[/tex]

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