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kane is training for a marathon. he starts by running 3 miles during ev…

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

分类: algebra 更新时间: 2026-01-31

题目

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.

解题步骤

  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

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

答案

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

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

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Question Analysis

Subject mathematics
Sub Subject algebra
Education Level middle school
Difficulty unspecified
Question Type calculation
Multi Question No
Question Count 1
Analysis Status completed
Analyzed At 2026-01-31T02:19:46

OCR Text

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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.

相关知识点

mathematicsalgebracalculationmiddle schoolliked-answerturns-1

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