Question

Part A: What is the s-intercept, and what does it represent in this situation? What is the t-intercept, and what does it represent in this situation? (if there isn't an intercept, explain what that means in the context of this situation. )

Part B: Describe the following end behavior of this function: As t increases without bound, the function f(t) . What does this mean in the context of this situation?


Part C: What is the average rate of change for the function between t = 5 and t = 7? Show all your work.


Part D: The function f(t) = (1.5)" + 5 is graphed above. The function g(t) represents the total number of T-shirts sold both online and at the basketball games. If the team sold 1000 T-shirts at the basketball games each year, what would the equation of g(t) look like? How would the graph of g (t) compare to the graph of f(t)?

Answer 1

Part A: The s-intercept is (0,6). The s-intercept represents the amount of shirts sold in the hundreds. There t-intercept in this problem. And Since there is no t-intercept, t represents the year of 2000

Part B: How the graph reacts is as it starts, it starts out as a steady, strait line. Then when it hits (-4,5) it start to incline slightly. What it means is it is doing really well.

Part C: The average rate of change is 0.333333 over a distance of 6.32456.

Part D: The graphs would differ greatly, because f(t) inclines slowly where g(t) would be way steeper and be vertical way before f(t)