kane is training for a marathon. he starts by running 3 miles during every training session. each week he…
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.
Answer
Answer:
$3+\frac{1}{4}w$
Explanation:
Step1: Identify initial distance
Initial distance is 3 miles.
Step2: Identify distance increase per - week
Distance increase per week is $\frac{1}{4}$ mile.
Step3: Calculate total distance after w weeks
Total distance = Initial distance+ (Distance increase per week×Number of weeks), so it is $3+\frac{1}{4}w$.