To determine the total distance Laura travels in a week by biking to and from her friend's house each day, let's break it down step-by-step:
1. Identify the daily distance:
- Laura travels [tex]\( x \)[/tex] miles to her friend’s house and back each day.
2. Calculate the weekly distance:
- There are 7 days in a week.
- Since she travels [tex]\( x \)[/tex] miles each day, for 7 days, we multiply the daily distance by the number of days in a week.
3. Form the equation:
- Total distance in a week = [tex]\( 7 \times x \)[/tex].
Thus, the expression for the total distance Laura travels in a week is [tex]\( 7x \)[/tex].
So, the correct answer is:
[tex]\[ 7x \][/tex]