High School

Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let [tex]x[/tex] represent the temperature in degrees Celsius and let [tex]y[/tex] represent the temperature in degrees Fahrenheit.

Answer :

An equation is formed of two equal expressions. An equation that represents degrees Fahrenheit in terms of degrees celsius is y=(9/5)x+32.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation to covert degrees fahrenheit to degrees celsius is given as,

(C × 9/5) + 32 = F

where C represents temperature in degrees Celcius and F represents the temperature in degrees Fahrenheit.

Now, we need to represent the degree Celcius by x, while the degree Fahrenheit by y. Therefore, the above equation can be rewritten as,

y = (x × 9/5) + 32

y = (9/5)x + 32

Hence, an equation that represents degrees Fahrenheit in terms of degrees celsius is y=(9/5)x+32.

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As we know Conversion from fahrenheit to celsius is
[tex]F - 32 = \frac{9C}{5} [/tex]

We can write it also as

[tex]F = \frac{9C}{5}+32 [/tex]

F as y and C as x then we can write it as

[tex]y = \frac{9x}{5} + 32 [/tex]