1.5 degrees C is 2.7 degrees F - the only thing you missed is that this is a difference, not an absolute temperature. Suppose C to F is 1.8*c+32=f. Take two values for c, x and y. Then:
(1.8x+32)-(1.8y+32)=1.8(x-y)
(1.8x+32)-(1.8y+32)=1.8(x-y)
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