You have 3 qt of paint to paint the trim in your house. A quart of paint covers 100 ft^2. The function A(q) = 100q represents the area A(q), in square feet, that q quarts of paint cover. What domain and range are reasonable for the function?

Domain: [1, ∞)

Range: [100, ∞)

Step-by-step explanation:

Given the function for the area of the of paint cover as A(q) = 100q

The domain of the function are the values of the input variables q for which the function exist. Since the area of the paint cannot be negative, hence the value of q must not be negative but only positive real numbers. Hence the domain of the function exists on all positive real numbers greater than or equal to 1. This is denoted according to the set notation.

[1, ∞)

The range are the values of the output A(q) for all input variables q for which the function exists. Since the area must be a positive value hence the range of the function must also exists on real positive number greater than or equal to 100.This is denoted by the set notation:

[100, ∞)