Question

Look at this formula showing the relationship between temperature degrees Celsius and temperature in degrees Fahrenheit C = 5/9 * (P - 32) Which of these equations represents the given formula written in terms of H = 9/5 * (C + 32) H = 9/5 * (C - 32) P = 9/5 * C + 32 F = 9/5 * C = 32

Answer 1

The equation which represents the given formula written in terms of P is

P = 9/5 * C + 32

Explanation:

Seems the question is: Which of these equations represents the given formula written in terms of P. If so, we will make P the subject of the given formula.

C = 5/9 * (P - 32)

This can be written as

`C = (5)/(9) * (P-32)`

Multiplying both sides by 9, we get

`9 * C = 9 * (5)/(9) * (P-32)`

`9C = 5 * (P - 32)\\`

Now, divide both sides by 5, we get

`(9C)/(5) = (5 * (P - 32))/(5)`

This gives

`(9)/(5) * C = P - 32`

Now, Add 32 to both sides of the equation

`(9)/(5) * C + 32 = P - 32 + 32`

This becomes

`(9)/(5) * C + 32 = P`

Hence

`P = (9)/(5) * C + 32`

That is, P = 9/5 * C + 32

Hence, the equation which represents the given formula written in terms of P is P = 9/5 * C + 32.