Use words to describe a reasonable domain and range for the number of people painting a house and the time required to finish the job. Explain your answer.
The domain for the number of people painting a house can be described as a reasonable range of whole numbers greater than or equal to 1. This means that the number of people involved in painting the house should not be negative or a fraction, as it would be impractical or impossible to have a fractional or negative number of people.
The range for the time required to finish the job can be described as a reasonable range of positive real numbers. This means that the time required should not be negative, as time cannot be negative in real-life situations. It may also include decimal numbers, as tasks can take fractional increments of time.
To determine the reasonable domain and range, it is important to consider practical constraints. For the number of people painting a house, having at least 1 person is necessary to complete the job. Additionally, there may be a practical upper limit based on the size of the house and the available resources. For example, if the house is small, it may not be practical or efficient to have a large number of people painting it.
For the time required, factors such as the size and complexity of the house, the experience and efficiency of the painters, and the available resources can come into play. It is important to consider a reasonable range that takes into account these factors, but without being overly restrictive or unrealistic.