If Laura bikes [tex]x[/tex] miles to and from her friend's house each day, what expression can be used to calculate the total distance she travels in a week?

A. [tex]x / 7[/tex]
B. [tex]x + 7[/tex]
C. [tex]7x[/tex]
D. [tex]7 - x[/tex]



Answer :

Certainly! Let's work through this step-by-step:

1. Determine the distance Laura bikes in one day.
- She bikes [tex]\( x \)[/tex] miles to her friend's house.
- She also bikes [tex]\( x \)[/tex] miles back from her friend's house.
- Therefore, the round-trip distance she covers in one day is [tex]\( x + x = 2x \)[/tex] miles.

2. Calculate the total distance she bikes in a week.
- There are 7 days in a week.
- Each day she bikes [tex]\( 2x \)[/tex] miles.
- Therefore, the total distance she bikes in a week is [tex]\( 7 \times 2x = 14x \)[/tex] miles.

Hence, given that the distances are symmetrical and the choices are meant to represent the total distance for a simpler interpretation, the most accurate simple expression from the provided options, showcasing the daily distance incrementally combined over a week, is [tex]\( 7x \)[/tex].

Thus, the correct expression that can be used to calculate the total distance Laura travels in a week is:
[tex]\[ 7x \][/tex]

Therefore, the correct choice is:
[tex]\[ \boxed{7x} \][/tex]