Question

A baby pool holds 120 gallons of water. John drains the pool at a constant rate of 6 gallons per minute. The situation can be represented by the function f(x) = 120 - 6x where x represents the number of minutes and f(x) represents the amount of water remaining in the pool. What are the domain and range of the function?

Answer 1

The domain of the function is all positive real numbers and the range is all non-negative real numbers.

Step-by-step explanation:

The domain of a function represents the set of all possible input values. In this case, the function represents the amount of water remaining in the pool, so the domain would be all the possible values for the number of minutes. Since John is draining the pool, it would make sense that the number of minutes should be a positive value, so the domain would be all positive real numbers.

The range of a function represents the set of all possible output values. In this case, the function represents the amount of water remaining in the pool, so the range would be all the possible values for the amount of water. The amount of water remaining in the pool cannot be negative, so the range would be all non-negative real numbers.