Posted by Lori on .
A certain mountain has an elevation of 19,583 feet. In 1907, the glacier on this peak covered 10 acres.By 2002, this glacier had melted to only 1 acre. (a) Assume this glacier melted at a constant rate each year. Find this yearly rate. (b)Use your answer from part (a)to write a linear equation that gives the acreage A of this glacier t years past 1907.

Math 
Steve,
a constant rate in acres/year, or a constant rate as a %age of the glacier's area?
In the first case, it was reduced by 9 acres in 95 years, or .0947 acres/yr
In the second case, it was reduced to 10% in 95 years, at a rate of 2.4%/yr
I guess you want .0947 acres/yr, since it's asking for a linear equation.
A = 10  .0947x where x=years since 1907.
Extra credit: At that rate, when will the glacier be gone? 
Math 
Lori,
Yes, I want the .0947 so that I could do the linear equation. Since the linear equation is A=10.947(95)which means A = 1.0035?

Math 
Lori,
I have to round the .0947 to the nearest thousandth so it would be .09?

Math 
Ms. Sue,
You rounded to the nearest hundredth.

Math 
Lori,
So then it is .095?

Math 
Ms. Sue,
Right. 0.095

Math 
Lori,
Thank you!