a) A certain mountain has an elevation of 19,269 feet. In 1906, the glacier on this peak covered...
Question:
a) A certain mountain has an elevation of 19,269 feet. In 1906, the glacier on this peak covered 4 acres. By 2005 this glacier had melted to only 1 acre. Assume that 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 1906.
Slope-Intercept Form
The slope-intercept form of a linear equation is one of the form {eq}y=mx+b {/eq}, where {eq}m {/eq} is the slope of the line and {eq}b {/eq} is the {eq}] {/eq}-intercept.
Slope-intercept form is useful when describing lines as the slope of the line is easily identifiable. Therefore, any value which changes at a constant rate can be modeled using a linear equation in point slope form.
For example, the problem below models a glacier which shrinks at a constant rate using a linear equation in point slope form.
Answer and Explanation: 1
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We are told that in 1906, the glacier covered 4 acres and that by 2005 the glacier had melted to only 1 acre. To find the rate, we must find how...
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