Leah is training for a bike race. She starts by biking 8 miles during every training session. Each week she plans to increase the distance of her training session by 3/4 mile.

Question

Let w be the number of weeks. Write an expression to show the distance Leah bikes in a training session after w weeks

Answer 1

To find the distance Leah bikes in a training session after \( w \) weeks, we start with her initial distance of 8 miles. Each week, she increases her distance by \( \frac{3}{4} \) mile.

After \( w \) weeks, the total increase in distance will be \( \frac{3}{4} \) miles multiplied by \( w \) weeks, which is \( \frac{3}{4}w \).

The expression for the distance Leah bikes after \( w \) weeks can be formulated as:

\[ \text{Distance after } w \text{ weeks} = 8 + \frac{3}{4}w \]

Thus, the final expression is:

\[ 8 + \frac{3}{4}w \]