People who live in Cape Carmel major reasons for their worry is that there are many homes built at, or nearly at, sea level along the coast of Cape Carmel. The total value of these homes is more than 100 million dollars. Ice melting increases the sea level. Global sea level is measured relative to the sea level in the year 1870. If the sea level in 1870 is represented by 0 inches, then Cape Carmel sea level has risen from 1 6.8 inches to 8.4 inches in the years from 1992 to 2012. If the sea level rises to 24 inches, it will have devastating effects on the homes along the coast of Cape Carmel. Many of the Cape Carmel residents want to know if, and when, they should sell their property before it is washed away into the sea. You must help residents understand more about the rising sea level in Cape Carmel to help them predict when they should sell their homes. 11.Create a graph (carefully scaled by hand, or on Excel) that shows BOTH the linear and the exponential model over ALL of the time values you have looked at in this problem situation. 12. Where are the two graphs similar? Where are they different?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
People who live in Cape Carmel major reasons for their worry is that there are many homes built at, or nearly at, sea level along the coast of Cape Carmel. The total value of these homes is more than 100 million dollars.
Ice melting increases the sea level. Global sea level is measured relative to the sea level in the year 1870. If the sea level in 1870 is represented by 0 inches, then Cape Carmel sea level has risen from 1 6.8 inches to 8.4 inches in the years from 1992 to 2012. If the sea level rises to 24 inches, it will have devastating effects on the homes along the coast of Cape Carmel.
Many of the Cape Carmel residents want to know if, and when, they should sell their property before it is washed away into the sea. You must help residents understand more about the rising sea level in Cape Carmel to help them predict when they should sell their homes.
11.Create a graph (carefully scaled by hand, or on Excel) that shows BOTH the linear and the exponential model over ALL of the time values you have looked at in this problem situation.
12. Where are the two graphs similar? Where are they different?
Let t be the number of years elapsed from 1992; t = 0 in 1992 and t = 20 in 2012.
Let y be the sea level; y(0) = 6.8 inches and y(20) = 8.4 inches.
We shall first fit a linear model.
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