The distance traveled by the Salmon is proportional to the duration spent
swimming.
A table of the distance traveled by the Atlantic Salmon is presented as follows;
![\begin{tabular}{|c|c|c}\underline{Time in minutes}&\underline{Miles Traveled at 2/3 miles per minute } \\1&2/3 \\2&4/3\\3&2\\4&8/3\\5&10/3\\6&4\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7Cc%7D%5Cunderline%7BTime%20in%20minutes%7D%26%5Cunderline%7BMiles%20Traveled%20%20at%202%2F3%20miles%20per%20minute%20%7D%20%5C%5C1%262%2F3%20%20%5C%5C2%264%2F3%5C%5C3%262%5C%5C4%268%2F3%5C%5C5%2610%2F3%5C%5C6%264%5Cend%7Barray%7D)
Reasons:
The given parameter are;
The steady rate at which Atlantic Salmon swims = 2 miles in 3 minutes
Distance the Salmon swims, d ∝ Time taken, t
Therefore;
d = s·t
Where;
s = The constant of proportionality = The speed
Which gives;
![\displaystyle s = \mathbf{\frac{Distance, \, d}{Time, \, t}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20s%20%3D%20%5Cmathbf%7B%5Cfrac%7BDistance%2C%20%5C%2C%20d%7D%7BTime%2C%20%5C%2C%20t%7D%7D)
The speed with which the Atlantic Salmon swims per minute is therefore;
![\displaystyle The \ speed = \mathbf{\frac{2 \ miles}{3 \ minutes}} = \frac{2}{3} \ miles /minute](https://tex.z-dn.net/?f=%5Cdisplaystyle%20The%20%5C%20speed%20%3D%20%5Cmathbf%7B%5Cfrac%7B2%20%5C%20miles%7D%7B3%20%5C%20minutes%7D%7D%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%5C%20miles%20%2Fminute)
The distance travelled, <em>d</em>, is given as follows;
![\displaystyle d = \mathbf{\frac{2}{3} \times t}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20d%20%3D%20%5Cmathbf%7B%5Cfrac%7B2%7D%7B3%7D%20%5Ctimes%20t%7D)
A table showing the distance travelled by the fish with time is presented as follows;
![\begin{tabular}{|c|c|c|}\underline{Time, t, in minutes}&\underline{t \times d}&\underline{Miles Traveled, d, at 2/3 miles per minute } \\1&1 \times 2/3 = 2/3&2/3 \\2&2 \times 2/3 = 4/3&4/3\\3&3 \times 2/3 = 2&2\\4&4 \times 2/3 = 8/3&8/3\\5&5 \times 2/3 = 10/3&10/3\\6&6 \times 2/3 = 4&4\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Btabular%7D%7B%7Cc%7Cc%7Cc%7C%7D%5Cunderline%7BTime%2C%20t%2C%20in%20minutes%7D%26%5Cunderline%7Bt%20%5Ctimes%20d%7D%26%5Cunderline%7BMiles%20Traveled%2C%20d%2C%20%20at%202%2F3%20miles%20per%20minute%20%7D%20%5C%5C1%261%20%5Ctimes%202%2F3%20%3D%202%2F3%262%2F3%20%20%5C%5C2%262%20%5Ctimes%202%2F3%20%3D%204%2F3%264%2F3%5C%5C3%263%20%5Ctimes%202%2F3%20%3D%202%262%5C%5C4%264%20%5Ctimes%202%2F3%20%3D%208%2F3%268%2F3%5C%5C5%265%20%5Ctimes%202%2F3%20%3D%2010%2F3%2610%2F3%5C%5C6%266%20%5Ctimes%202%2F3%20%3D%204%264%5Cend%7Barray%7D)
Learn more about constant of proportionality here:
brainly.com/question/11703625