Question

Alex is training for a bike. She starts by biking 8 miles during every training. Each week, she plans to increase the distance of her training by 1/4 a mile. 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

The expression to represent the distance Alex bikes after w weeks is 8 + (1/4)w, where w represents the number of weeks.

Step-by-step explanation:

To find the expression that represents the distance Alex bikes in a training session after w weeks, we start with her initial biking distance of 8 miles. Since she plans to increase her weekly training distance by 1/4 mile each week, we can write an expression that includes this weekly increase. The expression for the total distance after w weeks would be:

Initial distance + (weekly increase × number of weeks)
Which translates to: 8 + (1/4)w

This equation shows that after w weeks of training, Alex will bike a total of 8 miles plus an additional 1/4 mile for each week that has passed.