Linda is studying the sale of a particular brand of cereals from the year 1993 to 2004. She writes the following function to model the sale of the cereal S(t), in million dollars, after t years: S(t) = t2 + 5t + 52 Part A: What does the y-intercept of the graph of the function represent? (4 points) Part B: What is the reasonable domain of the graph of the function? (3 points) Part C: What is the average rate of change of the sale of the cereal from the first year to the fourth year? Show your work. (3 points)

Question

Linda is studying the sale of a particular brand of cereals from the year 1993 to 2004. She writes the following function to model the sale of the cereal S(t), in million dollars, after t years:  S(t) = t2 + 5t + 52  Part A: What does the y-intercept of the graph of the function represent? (4 points)  Part B: What is the reasonable domain of the graph of the function? (3 points)  Part C: What is the average rate of change of the sale of the cereal from the first year to the fourth year? Show your work. (3 points)