On a new scale of temperature (which is linear) and called the `W` scale. The freezing and boiling points of water are `39^(@)W` and `239^(@)W` respectively. What will be the temperature on the new scale, corresponding to a temperature of `39^(@)C` on the Celsius scale?

Options

A. `200^(@)W`
B. `139^(@)W`
C. `78^(@)W`
D. `117^(@)W`

Answer

D

Explanation

`(""^(@)C-0)/(100-0)=(W-W_(0))/(W_(W)-W_(0))`
`(C)/(100)=(W-39)/(239-39)`
`(39)/(100)=(W-39)/(200)`
`w=(39xx2)+39`
`=117^(@)W`.