Final answer:
Under the given conditions of a 10% per capita rate of increase and an initial population of 1,000, the deer population is expected to grow by 100 deer in one year.
Step-by-step explanation:
If a deer herd has a population of n = 1,000, and a per capita rate of increase of 10% (r = 0.1 per year), the population growth can be calculated using the formula: Population growth = rN. In one year, if resources are unlimited, the expected population growth would be:
Population growth = 0.1 × 1,000 = 100 deer.
Therefore, the correct answer is (a) 100, which means the deer population will grow by 100 in a year under these conditions.