A lost turtle - swimming 13 feet below the surface of the water - begins to ascend at 0.5 foot per second. In hopes of (harmlessly) capturing the turtle, a diver jumps into the water to a depth of 4 feet before descending at a rate of 0.25 foot per second.
a) Write an equation to model the position of the turtle at any given time.
b) Write an equation to model the position of the diver at any given time.
c) After how long will the diver be able to catch the turtle?
d) At what depth will the diver be able to catch the turtle?