Question

R(a) is the change in the population of rats based on the whole number of acres(a) of pasture. What is an appropriate domain for this function?
Responses
A all integersall integers
B all real numbersall real numbers
C all positive integersall positive integers
D all irrational numbersall irrational numbers

Answer 1

The appropriate domain for the function R(a), which represents the change in the population of rats based on the number of acres (a) of pasture, should be limited to those values that make sense in the context of the problem. Since the acreage of pasture cannot be negative and typically cannot be fractional in this context (as it refers to whole acres), the most suitable choice would be:

C. all positive integers

This choice allows for values such as 1 acre, 2 acres, etc., which are realistic when considering the area of pasture.