Question

when the weather is dry in the summer, patty sometimes uses a sprinkler to water her lawn. the sprinkler uses 17 gallons of water per minute. the function v(t) represents the volume of water, in gallons, the sprinkler uses in t minutes. what is the domain of v(t)? all whole numbers all whole numbers from 0 to 17 all real numbers greater than or equal to 0 all real numbers from 0 to 17

Explanation:

Step1: Define the input variable

The input $t$ is time in minutes that the sprinkler runs.

Step2: Analyze valid time values

Time cannot be negative. Additionally, time can be measured in non-whole values (e.g., 2.5 minutes is valid, as the sprinkler can run for a partial minute). There is no upper limit given for how long Patty can run the sprinkler.

Step3: Identify the domain

The domain includes all non-negative real numbers.

Answer:

all real numbers greater than or equal to 0