The initial number of fish = 3000
Total distance to travel = 1000 miles
The bear can pull up to 1000 pounds of fish, so this is the initial pounds of fish at the beginning of the 1000-mile trip.
After every mile, the number of fish decreases by 1, so the number of fish after every successive mile is
a₀ = 1000, to begin
a₁ = 999 = 1000 - 1 (after 1 mile)
a₂ = 998 = 1000 - 2 (after 2 miles)
Inductively, after n miles,
[tex]a_{n} = 1000-n[/tex]
After 1000 miles,
a₁₀₀₀ = 1000 - 1000 = 0
This means that the bear starts pulling 1000 pounds of fish but eats them all up by the time it travels 1000 miles.
Answer: 1000 pounds
The maximum amount of fish the polar bear can transport. is 1000 pounds.
