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# A certain mountain has an elevation of 19,570 feet.

In 1904, the glacier on this peak covered 10 acres. By 2000 this glacier had melted to only 1 acre.

(a) Assume that this glacier melted at a constant rate each year find this yearly/acres rate? (Type a integer or a decimal and round to the nearest thousandth

(b) Use the answer to part (a) to write a linear equation that gives the acreage A of this glacier t years past

### 2 Answers by Expert Tutors

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
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(b)  A = - (9/96)t + 10  or  A = - 0.094 · t + 10
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the initial acreage

Asok B. | Ph. D in Biochemistry, willing to teach Chemistry, Biochemistry, MathPh. D in Biochemistry, willing to teach ...
4.7 4.7 (18 lesson ratings) (18)
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In 96 years total loss is 9 acres.  Therefore yearly loss= 9/96 Acres/year =  0.09375 acres/year

If  Loss of acreage is L in time "t"  years, then L= 0.09375t.

So the Equation is A= A0 - 0.09375t where A0 is the initial acreage and A is the acreage after "t" years.