Answer:
[tex]y=8x[/tex]
Step-by-step explanation:
Given:
Distance cycled by Brenna for 1 trip = [tex]8 \textrm{ km}[/tex]
Total number of trips = [tex]x[/tex]
Total distance cycled for [tex]x[/tex] trips = [tex]y[/tex]
∵ Distance cycled for 1 trip = [tex]8 \textrm{ km}[/tex]
∴ Distance cycled for [tex]x[/tex] trips = [tex]8\times x=8x[/tex]
But, distance cycled for [tex]x[/tex] trips = [tex]y[/tex].
So, [tex]y = 8x[/tex].
Therefore, the relationship between the number of trips to work [tex]x[/tex] and the total distance cycled [tex]y[/tex] is [tex]y=8x[/tex].