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1. Understand the question

   kane is training for a marathon. he starts by running 3 miles during every training session. each week he plans to increase the distance of his run by \\(\frac{1}{4}\\) mile. let \\(w\\) be the number of weeks. write an expression to show the distance kane runs in a training session after \\(w\\) weeks.

2. Explanation

   Step1: Identify initial distance

   Initial distance = $3$ miles

   Step2: Calculate total weekly increase

   Total increase = $\frac{1}{4}w$ miles

   Step3: Sum initial and increased distance

   Total distance = Initial + Total increase

3. Final answer

   $3 + \frac{1}{4}w$

Réponse

Question Analysis

OCR Text

kane is training for a marathon. he starts by running 3 miles during every training session. each week he plans to increase the distance of his run by \\(\frac{1}{4}\\) mile. let \\(w\\) be the number of weeks. write an expression to show the distance kane runs in a training session after \\(w\\) weeks.

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