When the Celsius temperature is 15 degree, the corresponding Fahrenheit temperat

Question

When the Celsius temperature is 15 degree, the corresponding Fahrenheit temperature is 59 degree. When the Celsius temperature is 90 degree, the corresponding Fahrenheit temperature is 194 degree. Let C represent the Celsius temperature C and F the Fahrenheit temperature Express F as an exact linear function of C. Solve the equation in part a for C, thus expressing C as a function of F. For what temperature is F - C? Express F as an exact linear function of C. F = (Simplify your answer. Do not include the degree symbol in your answer.)

Explanation / Answer

( C , F) --- (15 , 59)

( C , F) --- ( 90 , 194)

Equation between C and F : slope = ( 194 -59)/(75) = 1.8

F = mC + d ; 59 = 1.8*15 + d ; d = 32

F = 1.8C + 32

In terms of C : C = ( F -32)/1.8

When C = F ; C = 1.8C +32

-0.8C = 32 ; C = - 40 deg

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