On a temperature scale ' X ', the boiling point of water is 65 ° X and the freezing point is - 15 ° X . Assuming that the X scale is linear. The equivalent temperature corresponding to - 95 ° X on the Fahrenheit scale would be

Step-by-step solution

The relation between two temperature scales can be written as follows 65 - x 65 - - 15 = 212 - F 180       . . . 1 Substitute the values of the known parameters in to equation (1) and sole to calculate the required temperature in Fahrenheit scale. 65 + 95 80 = 212 - F 180 ⇒ 2 × 180 = 212 - F ⇒ F = 212 - 360 = - 148 ° F