MATH SOLVE

3 months ago

Q:
# I really need help in this question I’m not really getting it at all. Thanks so much! 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 onlyB) II onlyC) III onlyD) I and II only

Accepted Solution

A:

Answer: D :) Step-by-step explanation:y=mx+bwhere in this caseC=59(F−32)orC=59F−59(32)You can see the slope of the graph is 59, which means that for an increase of 1 degree Fahrenheit, the increase is 59 of 1 degree Celsius.C=59(F)C=59(1)=59Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 95 degrees Fahrenheit.C=59(F)1=59(F)(F)=95Since 95 = 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 59degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:C=5/9(F)C=5/9(5/9)C=2581(which is ≠ 1)An increase of 5/9 degree Fahrenheit leads to an increase of 2581, not 1 degree, Celsius, and so Statement III is not true.The final answer is D. Hope I helped! :)