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:

$$8+\frac{3}{4}w$$