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Dew point temperature, in degrees Celsius (C^\circ C), is defined as the temperature to which the air would have to cool in order to reach saturation. For a temperature of 35C35^\circ C, an estimate of the dew point can be obtained by first subtracting 20C20^\circ C from the temperature, and then adding 11^\circ for every increase of 55 points in the relative humidity, RR. If the dew point is 30C30^\circ C, which of the following equations best models the situation?\newlineChoose 11 answer:\newline(A) 30=1515R30=15-\frac{1}{5}R\newline(B) 30=15+5R30=15+5R\newline(C) 30=155R30=15-5R\newline(D) 30=15+15R30=15+\frac{1}{5}R

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Q. Dew point temperature, in degrees Celsius (C^\circ C), is defined as the temperature to which the air would have to cool in order to reach saturation. For a temperature of 35C35^\circ C, an estimate of the dew point can be obtained by first subtracting 20C20^\circ C from the temperature, and then adding 11^\circ for every increase of 55 points in the relative humidity, RR. If the dew point is 30C30^\circ C, which of the following equations best models the situation?\newlineChoose 11 answer:\newline(A) 30=1515R30=15-\frac{1}{5}R\newline(B) 30=15+5R30=15+5R\newline(C) 30=155R30=15-5R\newline(D) 30=15+15R30=15+\frac{1}{5}R
  1. Understand Given Information: Understand the given information and what is being asked.\newlineWe are given that the dew point temperature is 30C30\,^\circ\mathrm{C} for a temperature of 35C35\,^\circ\mathrm{C}. The dew point estimate is calculated by subtracting 20C20\,^\circ\mathrm{C} from the temperature and then adding 1C1\,^\circ\mathrm{C} for every increase of 55 points in the relative humidity, RR.
  2. Translate into Equation: Translate the given information into an equation.\newlineLet's denote the dew point temperature as DD. According to the problem, we start with the temperature (35C35\,^\circ\text{C}), subtract 20C20\,^\circ\text{C}, and then add 1C1\,^\circ\text{C} for every 55 points increase in RR. This can be written as:\newlineD=(3520)+(15)×RD = (35 - 20) + (\frac{1}{5}) \times R
  3. Simplify the Equation: Simplify the equation.\newlineSimplifying the constant terms we get:\newlineD=15+(15)×RD = 15 + (\frac{1}{5}) \times R
  4. Compare with Answer Choices: Compare the simplified equation with the answer choices.\newlineThe simplified equation D=15+15×RD = 15 + \frac{1}{5} \times R matches with option (D)(D).

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