Alright, let's break down the question step by step.
First, we need to understand the problem fully. We are given that Laura bikes [tex]\( x \)[/tex] miles to and from her friend's house each day. This means every single day, she travels [tex]\( x \)[/tex] miles.
Next, we want to calculate the total distance Laura travels in a week. A week consists of 7 days.
To find the total distance Laura travels in a week, we need to multiply the distance she travels each day by the number of days in a week.
[tex]\[ \text{Total distance traveled in a week} = \text{Daily distance} \times \text{Number of days in a week} \][/tex]
Since the daily distance is [tex]\( x \)[/tex] miles, and there are 7 days in a week, the total distance she travels in a week is:
[tex]\[ 7 \times x \][/tex]
Therefore, the correct expression to calculate the total distance Laura travels in a week is:
[tex]\[ 7x \][/tex]
Among the given options, the correct answer is:
[tex]\[ 7x \][/tex]
