Question

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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.

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

Answer:

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