For the years since a department store has been open, its annual revenue, $ R $ (in millions of dollars), can be modeled by the function graphed below, where $ t $ is the number of years since the store opened. ### Description of the Graph: - **Axes**: - The horizontal axis (x-axis) represents time $ t $, in years since the store opened. It ranges from 0 to 16. - The vertical axis (y-axis) represents revenue $ R(t) $, in millions of dollars. It ranges from -1 to 2. - **Function Curve**: - The graph features a red curve that starts at around 1.3 million dollars when $ t = 0 $. - The revenue increases gradually, reaching a peak of approximately 1.7 million dollars between years 6 and 7. - After the peak, the revenue starts to decline sharply, dropping below 0 around year 15, indicating a negative revenue or loss. - **Graph Behavior**: - Initially, the revenue grows, depicting growth in the early years. - After peaking, the revenue decreases, possibly indicating diminishing returns or increased competition. This graphical representation of revenue over time gives insights into the financial trajectory of the department store. Understanding this model can aid in devising strategies for business sustainability and growth. The image shows a multiple-choice question focused on interpreting the average rate of change in revenue over time. It reads: **Question:** How should the average rate of change between $ t = 0 $ and $ t = 6 $ be interpreted? **Options:** - ○ Revenue increased on average by about $35,000 per year over the first six years after the store opened. - ○ Revenue increased on average by about $200,000 per year over the first six years after the store opened. - ○ Revenue increased on average by about $350,000 per year over the first six years after the store opened. - ○ Revenue increased on average by about $1,580,000 per year over the first six years after the store opened. A graph is partially visible above the question but details are not clear from the image. The graph likely relates to the dataset or scenario described in the question.