If a piece of property is depreciated linearly over a period of n years, then its value y dollars at the end of x years is given by: y=c[1-x/n] where c dollars is the original value of the property. An apartment building built in 1975 and originally worth $400,000 is being depreciated linearly over a period of forty years. Sketch a graph showing the value y dollars of the apartment building x years after it was built and determine its value in the year 2000. What is the slope of this line and what does it represent? .
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.
If a piece of property is depreciated linearly over a period of n years, then its value y dollars at the end of x years is given by:
y=c[1-x/n]
where c dollars is the original value of the property. An apartment building built in 1975 and originally worth $400,000 is being depreciated linearly over a period of forty years. Sketch a graph showing the value y dollars of the apartment building x years after it was built and determine its value in the year 2000. What is the slope of this line and what does it represent? .
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