On a linear X temperature scale, water freezes at &#x2212;<!-- − --> 125.0 0 </

London Ware

London Ware

Answered question

2022-05-13

On a linear X temperature scale, water freezes at 125.0 0 X and boils at 360.0 0 X. On a linear Y scale, water freezes at 70.00 0 Y and boils at 30.00 0 Y. A temperature of 50.00 0 Y corresponds to what temperature on the X scale?

Answer & Explanation

Gary Salinas

Gary Salinas

Beginner2022-05-14Added 13 answers

If you rearrange your equation to solve for Y,
Y = ( X + 125 ) 30 + 70 360 + 125 70
This reduces to
Y = 8 X 5790 97 = 0.08247 X + 59.6907 0.08 X 60
which is about what the textbook obtains.
The difference in values you are getting is completely due to the approximation that the solution manual uses. If you use the exact values, as you did, you will indeed get 1330. If you use the approximate values as the solution manual did, then you will indeed get 1375.

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