Question

suppose you plan to ride your bicycle from portland oregon to seattle washington and back to portland. the distance between portland and seattle is 175 miles. you plan to ride 25 miles each day. write the absolute value function d(x) where x is the number of days into the ride.

Answer 1

d(x) = 175 - |175 - 25x|

Explanation:

Suppose I plan to ride your bicycle from Portland Oregon to Seattle Washington and back to Portland.

Portland and Seattle are 175 miles apart. I plan to travel 25 miles every day.

If we consider the starting point i.e. Portland as the zero distance i.e. reference, then we can model the distance from Portland d(x) as

d(x) = 175 - |175 - 25x|

where x is the number of days into the ride. (Answer)