The relationship between Celsius(C)and Fahrenheit (F) degrees of measuring temperature is linear. Find an equation relating the two if 1o degrees C corresponds to 50 degrees Fand 50 degrees F and 30 degrees C corresponds to 86 degrees F. Use the equation to find the Celsius measure of 24 degrees F.

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If there's a linear relationship,

F = mC + n

50 = 10m + n
86 = 30m + n

36 = 20m
m = 9/5
n = 32

F = 9/5 C + 32
or
C = 5/9(F-32)

C(24) = 5/9(24-32)
= -40/9 = -4.44