A bucket is filled from a hose that has a constant flow rate. Is the amount of water in the bucket best described by a linear or exponential function of time during the filling process? Explain.(1 point)
Responses
Since the amount added per unit time is constant, the amount of water in the bucket is multiplied by a constant factor for equal time intervals. This is a linear function.
Since the amount added per unit time is constant, the amount of water in the bucket is multiplied by a constant factor for equal time intervals. This is a linear function.
Since the amount added per unit time is constant, the amount of water in the bucket is multiplied by a constant factor for equal time intervals. This is an exponential function.
Since the amount added per unit time is constant, the amount of water in the bucket is multiplied by a constant factor for equal time intervals. This is an exponential function.
Since the amount added per unit time is constant, the amount of water in the bucket increases by a constant amount for equal time intervals. This is a linear function.
Since the amount added per unit time is constant, the amount of water in the bucket increases by a constant amount for equal time intervals. This is a linear function.
Since the amount added per unit time is constant, the amount of water in the bucket increases by a constant amount for equal time intervals. This is an exponential function.
The correct response is: Since the amount added per unit time is constant, the amount of water in the bucket increases by a constant amount for equal time intervals. This is a linear function.
Linear functions have a constant rate of change, which is the case when water is filling a bucket at a constant flow rate. Each unit of time adds a constant amount of water to the bucket, resulting in a linear relationship between the amount of water in the bucket and time.