Question

On a linear X temperature scale, water freezes at -141.0°X and boils at 301.0°X. On a linear Y temperature scale, water freezes at -76.00°Y and boils at -26.00°Y. A temperature of 44.00°Y corresponds to what temperature on the X scale?

Answer 1

Here we have given the 2 linear scales for measuring the temperatures such as X temperature scale and Y temperature scale.

Here for the case of linear X temperature scale,

The freezing point of water,

and the boiling point of water,

For the case of linear Y temperature scale,

The freezing point of water,

The boiling point of water,

So,Now consider the convertion for one scale to another scale equation,

We have,

ie,

Here for the above equation the equivalent temperature for in X scale is in Y scale.

So,To for the temperature in Y scale,

The corresponding temperature in X scale,

So,By the above equation,

ie,

implies,

ie,

So,The corresponding temperature for in linear X scale is,