Equipment Depreciation. A small company has purchased a computer system for $7200 and plans to depreciate the value of the equipment by $1200 per year for 6 years. Let x denote the age of the equipment, in years, and y denote the value of the equipment, in hundreds of dollars. a. Find the equation that expresses y in terms of x. b. Find the y-intercept, b0, and slope, b1, of the linear equation in part (a). c. Without graphing the equation in part (a), decide whether the line slopes upward, slopes downward, or is horizontal. d. Find the value of the computer equipment after 2 years; after 5 years. e. Obtain the graph of the equation in part (a) by plotting the points from part (d) and connecting them with a line. f. Use the graph from part (e) to visually estimate the value of the equipment after 4 years. Then calculate that value exactly, using the equation from part (a).
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.
Equipment Depreciation. A small company has purchased a computer system for $7200 and plans to depreciate the value of the equipment by $1200 per year for 6 years. Let x denote the age of the equipment, in years, and y denote the value of the equipment, in hundreds of dollars.
a. Find the equation that expresses y in terms of x.
b. Find the y-intercept, b0, and slope, b1, of the linear equation in part (a).
c. Without graphing the equation in part (a), decide whether the line slopes upward, slopes downward, or is horizontal.
d. Find the value of the computer equipment after 2 years; after 5 years.
e. Obtain the graph of the equation in part (a) by plotting the points from part (d) and connecting them with a line.
f. Use the graph from part (e) to visually estimate the value of the equipment after 4 years. Then calculate that value exactly, using the equation from part (a).
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