Question

Question 1 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 5 9 degree Celsius. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. A temperature increase of 5 9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I only B) II only C) III only D) I and II only 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 (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)= 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 9 ( 5 9 ) C= 25 81 (whichis≠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.

Answer 1

22gmy2rgnrikrieiryieieiiyiiejudue5udgdyiryirtidiry8ietir9rieiyeiiyriw5uwue5uwuuenumietmueettr