The graph of the function h represents how the values of s and h(s) are related and vary together. Let V = h(s). Recall that s represents the length of the side of the square that is cut from each corner of a 15 inch by 18 inch of paper and h(s) represents the box's volume. Mode 1 V 350 (2.00, 308.00) 300 250 200 150 100 50 Use the three modes in applet to answer the following questions. Drag the purple X to vary the value of the length of the side of the square cutout. a. Estimate h(4.1). Preview b. Solve h(s) = 200 for s. (Enter a comma-seperated list, if needed.) s = Preview c. As s increases from 3 to 5, the value of h(s) [ Select an answer from to d. Determine the range of h? Use interval notation. Preview h(2.5) – h(1) e. Use the graph of h to evaluate 2.5 – 1 Select an answer Preview h(2.5) – h(1) Which of the following decribes what represents in the context of this problem. Select all that 2.5 – 1 apply. The constant rate of change of the box's volume with respect to its side length on the interval from s = 1 to s = 2.5 that would result in the same change in volume as was achieved by h on that interval. OThe ratio of the change in the box's volume and the change in the value of s on the interval from s = 1 to s = 2.5. OThe change in the box's volume as the value of s increases from 1 to 2.5. OThe average rate of change of the box's volume with respect to the box's side-length, s, on the interval from s = 1 to s = 2.5 inches.

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