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A glacier covered about 176 acres in 2006 and was shrinking at a rate of about 3.7% per year.

a) Write a formula for the size, S, of the glacier, in acres, as a function of years t since 2006.
S(t)=

B) Use the model to predict the size of the glacier in the year 2014.
Size:

C) According to the model, how many acres of ice were lost from the glacier between 2006 and 2008?
Acres lost:

Answer :

UltraRaptorgo

Answer:

a) S=-6.512t+176

b) 123.904

c) 13.024

Step-by-step explanation:

Khuranashilpa76go

A glacier covered about 176 acres in 2006

Rate of shrinking is 3.7% per year.

Using exponentially decreasing concept

A. The formula for size S as function of years 't' since 2006

               â‡’ S(t)=179(1-0.037)^t

B. Let us take a model were ice ice lost from the glaciers between 2006 to 2014

            S=179(1-0.037)^8

            S=179(0.963)^8

            S=179×0.74

            S =132.4 acres

C. According to the model above area of glaciers lost between 2006 and 2008 is=113 acreacres

       â‡’S=179(1-0.037)^2

      ⇒S=179(0.963)^2

      ⇒S=179×0.90.93

      ⇒S=166 acres

∴glaciers lost between 2006 and 2008 is=179-166=113 acres.

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