The depreciation for a corporate airplane from 2006 to 2009. The plane was purch
ID: 3099273 • Letter: T
Question
The depreciation for a corporate airplane from 2006 to 2009. The plane was purchased new in 2006; therefore, x=0 represents the year 2006.x- axis (horizontal)= years starting from 0= 2006 increasing by 0.5 years
y- axis (vertical)=price in $ amounts (240,000)
a) List the coordinates of two points on the graph in (x,y) form.
b) Find the slope (rate of depreciation) of this line
c) Find the equation of this line in slope-intercept form.
d) If the rate of depreciation continues at the present rate, what will be the plane's value in the year 2007? Show how to use the equation from part (c) to obtain your answer.
Explanation / Answer
a) List the coordinates of two points on the graph in (x, y) form. (_0__, _240000__),(_2__, _216000__) b) Find the slope (rate of depreciation) of this line: Answer: -12000 Show your work here: Slope, m = (y2 - y1)/(x2 - x1) = (216000 - 240000)/(2 - 0) = -12000 c) Find the equation of this line in slope-intercept form. Answer: y = -12000x + 240000 Show or explain your work here: y - y1 = m(x - x1) y - 240000 = -12000(x - 0) y = -12000x + 240000 d) If the rate of depreciation continues at the present rate, what will be the plane’s value in the year 2007? Show how to use the equation from part c) to obtain your answer. Answer: 108000 Show or explain your work here: y = -12000(1) + 240000 = $228000