Question

e. Use the graph of \(h\) to evaluate \(\frac{h(2.5) - h(1)}{2.5 - 1}\) Which of the following describes what \(\frac{h(2.5) - h(1)}{2.5 - 1}\) represents in the context of this problem. Select all that apply. The 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. The change in the box's volume as the value of \(s\) increases from 1 to 2.5. 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. The ratio of the change in the box's volume and the change in the value of \(s\) on the interval from \(s = 1\) to \(s = 2.5\).

          e. Use the graph of \(h\) to evaluate \(\frac{h(2.5) - h(1)}{2.5 - 1}\)

Which of the following describes what \(\frac{h(2.5) - h(1)}{2.5 - 1}\) represents in the context of this problem. Select all that apply.

The 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.

The change in the box's volume as the value of \(s\) increases from 1 to 2.5.

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.

The ratio of the change in the box's volume and the change in the value of \(s\) on the interval from \(s = 1\) to \(s = 2.5\).

e. Use the graph of h to evaluate (h(2.5) - h(1))/(2.5 - 1)

Which of the following describes what (h(2.5) - h(1))/(2.5 - 1) represents in the context of this problem. Select all that apply.

The 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.

The change in the box's volume as the value of s increases from 1 to 2.5.

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.

The 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.

Added by Jordi L.

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