Mathematics

The summit of Africa’s highest peak, Mt.
Kilimanjaro, consist of the northern and southern
ice fields and the Furtwangler glacier. An article in
the National Academy of Sciences found that in
2000, the area of the ice cover at the peak of Mt.
Kilimanjaro was approximately 1951 square
meters. By 2007, the area had shrunk to
approximately 1555 square meters.
a. Provide a linear model for area of the ice cover as a function of time.
b. Use the linear model to predict the area of the ice cover in 2017.
c. When would you expect the ice cover to disappear?

A rectangle is inscribed under the parabola y x   4 2 as shown in the figure below.
a. Express the area A of the rectangle as a function of x.
b. Use a graph of A x   to approximate the value of x which results in the maximum
possible area.
c. Provide an estimate for the maximum possible area.

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