The closest distance between the orbits of these two planets is about 24 million miles. But the actual distance between the two is constantly changing because they orbit the sun at different speeds. At the farthest, these two planets are 162 million miles apart.
Replacing <em>F</em> with <em>F</em> + 1 gives
5/9 (<em>F</em> + 1 - 32) = 5/9 (<em>F</em> - 32) + 5/9 = <em>C</em> + 5/9
so a temperature increase of 1º F translates to a 5/9º increase in Celsius, so I is true.
Replacing <em>F</em> with <em>F</em> + 5/9 gives
5/9 (<em>F</em> + 5/9 - 32) = 5/9 (<em>F</em> - 32) + (5/9)² = <em>C</em> + 25/81
so increasing the temperature by 5/9º F amounts to a 25/81º increase in Celsius, so III is false.
Solve for <em>F</em> in terms of <em>C</em> :
<em>F</em> = 9/5 <em>C</em> + 32
Replacing <em>C</em> with <em>C</em> + 1 gives
9/5 (<em>C</em> + 1) + 32 = 9/5 <em>C</em> + 32 + 9/5 = <em>F</em> + 9/5
and 9/5 = 1.8, so a 1º C increase translates to a 1.8º F increase, so II is also true and the answer is D.
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