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An elite runner's stride rate is currently 168 strides per minute (the number of steps she takes per minute). She wants to improve her stride rate to 180 , and believes that through training, she can increase her stride rate by 2 strides per minute each day, d. Which equation best models the situation? Choose 1 answer: (A) 168-2d=180 (B) 168+2d=180 (c) 180-120 d=168 (D) 180+120 d=168

An elite runner's stride rate is currently 168168 strides per minute (the number of steps she takes per minute). She wants to improve her stride rate to 180180 , and believes that through training, she can increase her stride rate by 22 strides per minute each day, d d . Which equation best models the situation?\newlineChoose 11 answer:\newline(A) 168−2d=180 168-2 d=180 \newline(B) 168+2d=180 168+2 d=180 \newline(C) 180−120d=168 180-120 d=168 \newline(D) 180+120d=168 180+120 d=168

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Q. An elite runner's stride rate is currently 168168 strides per minute (the number of steps she takes per minute). She wants to improve her stride rate to 180180 , and believes that through training, she can increase her stride rate by 22 strides per minute each day, d d . Which equation best models the situation?\newlineChoose 11 answer:\newline(A) 168−2d=180 168-2 d=180 \newline(B) 168+2d=180 168+2 d=180 \newline(C) 180−120d=168 180-120 d=168 \newline(D) 180+120d=168 180+120 d=168
  1. Question Prompt: The question prompt is: ＂Which equation best models the elite runner's stride rate improvement over time?＂
  2. Runner's Current Stride Rate: We know the runner's current stride rate is 168168 strides per minute and she wants to improve it to 180180 strides per minute. She plans to increase her stride rate by 22 strides per minute each day. Let's denote the number of days she trains as dd.
  3. Modeling the Situation: To model the situation, we need an equation that starts with her current stride rate and adds the improvement over days. The improvement is 22 strides per minute per day, so the equation will have a term '2d′2d'.
  4. Checking the Options: The correct equation should represent the final stride rate (180180 strides per minute) as the sum of the initial stride rate (168168 strides per minute) and the product of the number of days (dd) and the daily improvement (22 strides per minute). This gives us the equation: 168+2d=180168 + 2d = 180.
  5. Checking the Options: The correct equation should represent the final stride rate (180180 strides per minute) as the sum of the initial stride rate (168168 strides per minute) and the product of the number of days (dd) and the daily improvement (22 strides per minute). This gives us the equation: 168+2d=180168 + 2d = 180. Now, let's check the options given to see which one matches our equation:\newline(A) 168−2d=180168 - 2d = 180 (This would mean the runner is decreasing her stride rate, which is incorrect.)\newline(B) 168+2d=180168 + 2d = 180 (This matches our equation and represents the situation correctly.)\newline(C) 180−120d=168180 - 120d = 168 (This does not make sense in the context of the problem.)\newline(D) 180+120d=168180 + 120d = 168 (This also does not make sense in the context of the problem.)

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