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An elite runner's stride rate is currently strides per minute (the number of steps she takes per minute). She wants to improve her stride rate to , and believes that through training, she can increase her stride rate by strides per minute each day, Which equation best models the situation?Choose answer:(A) (B) (C) (D)
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Q. An elite runner's stride rate is currently strides per minute (the number of steps she takes per minute). She wants to improve her stride rate to , and believes that through training, she can increase her stride rate by strides per minute each day, Which equation best models the situation?Choose answer:(A) (B) (C) (D)
- Define variables: Define the variables.Let's define as the number of days of training. The runner's stride rate increases by strides per minute each day.
- Write initial rate: Write the initial stride rate.The initial stride rate is strides per minute.
- Write rate increase: Write the stride rate increase per day.The stride rate increases by strides per minute each day, so the increase after days is strides per minute.
- Write final rate: Write the final stride rate.The runner wants to improve her stride rate to strides per minute.
- Combine into equation: Combine the initial stride rate, the increase, and the final stride rate into an equation.The equation that models the situation is the initial stride rate plus the increase over days equals the final stride rate. This can be written as:
- Check against choices: Check the equation against the answer choices.(A) (This would mean the stride rate decreases each day, which is incorrect.)(B) (This matches our equation and represents the situation correctly.)(C) (This does not make sense in the context of the problem.)(D) (This does not make sense in the context of the problem.)
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