Each spring, sandhill cranes migrate through the Platte River valley in central Nebraska. An estimated maximum of a half-million of these birds reach the region by April 1 each year. If there are only 100,000 sandhill cranes 15 days later and the sandhill cranes leave the Platte River valley at a rate proportional to the number of them still in the valley at the time,
(a) How many sandhill cranes remain in the valley 30 days after April 1?
(b) How many sandhill cranes remain in the valley 35 days after April 1?
(c) How many days after April 1 will there be fewer than 1000 sandhill cranes in the valley?
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