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C= 5/9(f-32)The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59degree Celsius.A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.A temperature increase of 59degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.A) I onlyB) II onlyC) III onlyD) I and II only |
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Answer» ANSWER:ANSWER EXPLANATION:Think of the EQUATION as an equation for a line y=mx+b where in this case C=5/9 (F−32) or C=5/9 F - 5/9 x 32 You can see the slope of the GRAPH is 5/9 , which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius. C=5/9(F) C=5/9(1) C=5/9 Therefore, statement I is true. This is the equivalent to SAYING that an increase of 1 degree Celsius is equal to an increase of 9/5 degrees Fahrenheit. C=5/9(F) 1=5/9(F) (F)=9/5 Since 9/5 = 1.8, statement II is true. The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true: C=5/9(F) C=5/9x 5/9 C=25/81 (which is≠1) An increase of 5/9 degree Fahrenheit leads to an increase of 25/81. , not 1 degree, Celsius, and so Statement III is not true. The final answer is D. |
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