Answer:
Karl needs to ride 15.0625 miles more to complete his trip.
Step-by-step explanation:
There is a sketch attached to this answer.
If we divide the distance into eight equal parts, we can see <em>graphically</em> that Karl still needs to ride
of the distance.
In other words, we are dealing here with <em>fractions</em>. The total is 24.1mi (in terms of fractions the total is 1).
We can confirm this following the next steps:
- Karl needs to ride 24.1 miles from Lakeview to Bay Cove, that is, <em>the distance from Lakeview to Bay Cove</em>.
- We know that he rode
of the total distance, which is
.
- But, he still needs to ride the rest of this total distance, that is: <em>What is the rest of the total distance to ride?</em>
- If we subtract what Karl has ridden to the total, we can determine the <em>remaining</em> distance <em>in terms of fractions</em>, that is:
.
- In other words, Karl still needs to ride
of the total distance (as it was proposed at the beginning of this answer):
or 
Then, Karl still needs to ride 15.0625 miles <em>more</em> to complete his trip.
We can check this result:



Which give us the <em>total distance</em> = 9.0375mi + 15.0625mi = 24.1mi.