A report by the US Geological Survey indicates that glaciers

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 km^2 in 1850 to about 25.5 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. Find and explain the meaning of the slope. Which statement best explains its significance The area covered by glaciers is decreasing by 62, 000 m^2 every year. The area covered by glaciers is decreasing by 16.2 km^2 every year. The total area covered by glaciers decreased by 16.2 km^2 from 1850 to 2000. The area covered by glaciers is decreasing by 62 m^2 every year. The total area covered by glaciers is increasing by 0.062 km^2 every year. None of the above Find and explain the meaning of the A-intercept. Which statement best explains its significance The area covered by glaciers is decreasing by 16.2 km^2 every year. The area covered by glaciers in 2000 was 16.2 km^2. The area covered by glaciers in 2000 was 0.062 km^2. The total area covered by glaciers decreased by 16.2 km^2 from 1850 to 2000. The total area covered by glaciers will decreased by 0.062 km^2 from 2000 to 2001. None of the above For both expressions listed below, enter the letter A-E of the statement which best explains their practical meaning. There are extra, unused statements. If f (t) = 11, then t is f(11)is The number of years after 2000 that the amount of glacier area that has disappeared is 11 km^2. The number of years after 2000 that the total area covered by glaciers will be 11 km^2. How much area will be covered by glaciers in 2011. The amount of glacier area that disappears in 11 years. How much area will be covered by glaciers in 11 years. Evaluate f(11) = How much glacier area disappears in 11 years km^2 Solve f(t) = 11. t =

Solution

A. The area is decreasing by 0.062 km^2 or 62 m^2 , which means option D.

B. Option B , because intercept is 16.2 km^2

C. B for 1

C for 2

D. f(11) = 16.2 - 0.062(11) = 15.518 km^2

E. f(0 ) - f(11) = 16.2 - 15.518 = 0.682 km^2

F. f(t) = 11 ,

11 = 16.2 -0.062t

11 - 16.2 = 16.2 -16.2 -.062t

-5.2 = -.062 t

t = 83.87

t =83.9