A packaging machine can pack 5 boxes every minute. If the machine runs continuously, is the total number of boxes packed a linear or exponential function? Explain.(1 point)

Question

Responses

The total number of boxes increases by a constant difference for equal time intervals. This is an exponential function.
The total number of boxes increases by a constant difference for equal time intervals. This is an exponential function.

The total number of boxes increases by a constant difference for equal time intervals. This is a linear function.
The total number of boxes increases by a constant difference for equal time intervals. This is a linear function.

The total number of boxes increases by a constant factor for equal time intervals. This is an exponential function.
The total number of boxes increases by a constant factor for equal time intervals. This is an exponential function.

The total number of boxes increases by a constant factor for equal time intervals. This is a linear function.

Answer 1

The total number of boxes packed by the packaging machine is a linear function. This is because the number of boxes packed increases by a constant amount (5 boxes) every minute, regardless of how many boxes have already been packed. It is not increasing by a constant factor, but rather a constant difference. Therefore, it is a linear function.