Rachel found this rate of change for the scenario represented in the table.

Answer:

This function is continuous.

The scenario corresponds to a linear function due to the constant rate of change.

Every additional hour yields 53 cups of juice.

Step-by-step explanation:

1) Refer to the table below:

2) To clarify, the slope and function are:

3) This represents a linear function.

Thus:

This function is continuous.

There are no discontinuities, gaps, or asymptotes here. Since linear equations take the form f(x)=ax+b, with a≠0, this is also categorized as a polynomial. Every polynomial function is continuous.

The scenario is exemplified by a linear function given that the rate of change remains consistent.

The previously calculated rate of change of 53 results from evaluating the "rise" over "run".

Every hour, 53 cups of juice are served.

This can be observed in the second column by taking the difference between each subsequent value and the one before it.

Answer:

This function is continuous.

The situation illustrated corresponds to a linear function because the rate of change remains constant.

For each additional hour, 53 cups of juice are dispensed.

Brainliest please