Water boils as 100C(derees Celsius) which is 212F(degrees Fahrenheit) and freezes at 0C which is...

Joanna Mueller

Joanna Mueller

Answered

2022-07-18

Water boils as 100C(derees Celsius) which is 212F(degrees Fahrenheit) and freezes at 0C which is 32 F.Let x denote the temperature of an object in: F and y the temperature of the same object in: C
(a) Express x in terms of y (F)
(b) Express y in terms of y (C)
(c) Use (b) to convert 70 F into Celsius
(d) Use (a) to convert your answer to (c) back into Fahrenheit.
(e) What temperature is the same in both Celsius and Fahrenheit?

Answer & Explanation

sweetwisdomgw

sweetwisdomgw

Expert

2022-07-19Added 20 answers

Let x = a y + b
When x = 212 F , y = 100 212 = 100 a + b         ( 1 )
When x = 212 F , y = 100 212 = 100 a + b         ( 1 )
(1) 212 = 100 a + 32 a = 212 32 100 a = 180 100 = 9 5 x ( y ) = 9 5 y + 32
a) x ( y ) = 9 5 y + 32 F
b) 9 5 y = x 32 y = 5 9 ( x 32 ) y ( x ) = 5 x 9 160 9 C
c) When x = 70 F , y = 5 ( 70 ) 9 160 9 y = 350 160 9 = 190 9 C
d) x = 9 5 ( 190 9 ) + 32 = 190 5 + 32 = 190 + 160 5 = 350 5 = 70 F
e) When x=y, from (a), x = 9 5
x 9 5 x = 32 4 5 x = 32 x = 32 × 5 4 = 40 C = 40 F

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