A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates indicate the area covered by glaciers has decreased from over $25.5 \ \mbox{km}^2$ in 1850 to about $16.51 \ \mbox{km}^2$ in 1995. Let $A = f(t)$ give the area (in square km) $t$ years after 2000, and assume $f(t) = 16.2 - 0.062t$.

a) Find and explain the meaning of the slope. Which statement best explains its significance?
A. The area covered by glaciers is decreasing by $62,000 \ \mbox{m}^2$ every year.
B. The total area covered by glaciers decreased by $16.2 \ \mbox{km}^2$ from 1850 to 2000.
C. The area covered by glaciers is decreasing by $16.2 \ \mbox{km}^2$ every year.
D. The total area covered by glaciers is increasing by $0.062 \ \mbox{km}^2$ every year.
E. The area covered by glaciers is decreasing by $62 \ \mbox{m}^2$   every year.
F. None of the above

b) Find and explain the meaning of the $A$-intercept. Which statement best explains its significance?
A. The total area covered by glaciers will decrease by $0.062 \ \mbox{km}^2$   from 2000 to 2001.
B. The area covered by glaciers in 2000 was $0.062 \ \mbox{km}^2$ .
C. The area covered by glaciers is decreasing by $16.2 \ \mbox{km}^2$ every year.
D. The area covered by glaciers in 2000 was $16.2 \ \mbox{km}^2$.
E. The total area covered by glaciers decreased by $16.2 \ \mbox{km}^2$ from 1850 to 2000.
F. None of the above

c) For both expressions listed below, enter the letter A-E of the statement which correctly completes the sentence. There are extra, unused statements.

A. The number of years after 2000 that the amount of glacier area that has disappeared is $14 \ \mbox{km}^2$.
B. How much area will be covered by glaciers in 14 years.
C. How much area will be covered by glaciers in 2014.
D. The amount of glacier area that disappears in 14 years.
E. The number of years after 2000 that the total area covered by glaciers will be $14 \ \mbox{km}^2$.

 1. $f( 14 )$ is
 2. If $f(t) = 14$, then $t$ is

d) Evaluate $f( 14 ) =$ .

e) Solve $f(t) = 14$ .
$t =$ (round your answer to one decimal place)