4) 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. 4) Let \( w \) be the number of weeks. Write an expression to show the distance Kane runs in a training session after \( w \) weeks.

Kane's initial distance of 3 miles is the starting point. Each week, he's adding \( \frac{1}{4} \) mile to his run. So after \( w \) weeks, the distance he runs can be expressed as \( 3 + \frac{1}{4}w \). This means that if you want to find out how far he'll run after any number of weeks, just substitute \( w \) with that number! To visualize Kane’s progress, think of it like filling a jar with marbles. He starts with 3 marbles (the initial distance) and each week he adds another marble for every quarter mile he runs. It’s a steady build-up that leads to an exciting finish line as he prepares for that marathon!