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The temperature in kelvin, K, is equal to (5)/(9) times the sum of 459.67 and the temperature in degrees Fahrenheit, F. Which of the following equations best describes the relationship between temperature in kelvin and degrees Fahrenheit? Choose 1 answer: (A) K=(5)/(9)*459.67+F (B) K=459.67+(5)/(9)F (c) K=(5)/(9)(459.67+F) (D) K=459.67((5)/(9)+F)

The temperature in kelvin, K K , is equal to 59 \frac{5}{9} times the sum of 459459.6767 and the temperature in degrees Fahrenheit, F F . Which of the following equations best describes the relationship between temperature in kelvin and degrees Fahrenheit?\newlineChoose 11 answer:\newline(A) K=59⋅459.67+F K=\frac{5}{9} \cdot 459.67+F \newline(B) K=459.67+59F K=459.67+\frac{5}{9} F \newline(C) K=59(459.67+F) K=\frac{5}{9}(459.67+F) \newline(D) K=459.67(59+F) K=459.67\left(\frac{5}{9}+F\right)

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Q. The temperature in kelvin, K K , is equal to 59 \frac{5}{9} times the sum of 459459.6767 and the temperature in degrees Fahrenheit, F F . Which of the following equations best describes the relationship between temperature in kelvin and degrees Fahrenheit?\newlineChoose 11 answer:\newline(A) K=59⋅459.67+F K=\frac{5}{9} \cdot 459.67+F \newline(B) K=459.67+59F K=459.67+\frac{5}{9} F \newline(C) K=59(459.67+F) K=\frac{5}{9}(459.67+F) \newline(D) K=459.67(59+F) K=459.67\left(\frac{5}{9}+F\right)
  1. Given Relationship Analysis: The given relationship between kelvin and Fahrenheit is that KK is equal to (5/9)(5/9) times the sum of 459.67459.67 and the temperature in degrees Fahrenheit, FF. This can be written as:\newlineK=(59)×(459.67+F)K = \left(\frac{5}{9}\right) \times (459.67 + F)
  2. Option Analysis (A): Now we need to match this equation with the given choices. Let's analyze each option:\newline(A) K=59×459.67+FK = \frac{5}{9} \times 459.67 + F does not match because it suggests that FF is added after multiplying 459.67459.67 by 59\frac{5}{9}, which is not the case in the given relationship.
  3. Option Analysis (B): (B)K=459.67+(59)F(B) K = 459.67 + \left(\frac{5}{9}\right)F suggests that 459.67459.67 is added to the product of (59)\left(\frac{5}{9}\right) and FF, which is also not the case in the given relationship.
  4. Option Analysis (C): (C) K=(59)(459.67+F)K = \left(\frac{5}{9}\right)(459.67 + F) matches the given relationship exactly, as it states that KK is (59)\left(\frac{5}{9}\right) times the sum of 459.67459.67 and FF.
  5. Option Analysis (D): (D) K=459.67(59+F)K = 459.67\left(\frac{5}{9} + F\right) suggests that 459.67459.67 is multiplied by the sum of (59)\left(\frac{5}{9}\right) and FF, which is incorrect according to the given relationship.

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