Return this question to its initial state
Mingy's Construction Company recently purchased a $54,210 pickup truck. Suppose this pickup truck depreciates in value by 14.1% each year. This percentage is used to reduce the value of the truck at the end of each year, so that at the start of each new year the value of the pick truck is 14.1% less it was at the start of the prior year. Let M(t) give the value of the pick up truck t years after its purchase and assume M(t) follows an exponential model of the form
M(t)=y_(0)b^(t)
(a) As stated above, Mingy's CC purchased the truck for $54,210. We can represent this on the graph with the point P= lanswer should be an ordered pair). Type these coordinates into the input boxes for point P in the applet.
We may also represent point P in function notation as M(,)= â—» Use this function value to solve for y_(0).
â—»
M(0)=y_(0)*b
=y_(0)
Thus, we may conclude that
y_(0)=
Now, using this value for y_(0), we can write M(t)=,*b^(t).
Return this question to its initial state Mingy's Construction Company recently purchased a $54,210 pickup truck. Suppose this pickup truck depreciates in value by 14.1% each year. This percentage is used to reduce the value of the truck at the end of each year, so that at the start of each new year the value of the pick up truck is 14.1% less it was at the start of the prior year. Let M(t) give the value of the pick up truck t years after its purchase and assume M(t) follows an exponential model of the form Mt=yobt.
(0,54210) answer
should be an ordered pair).Type these coordinates into the input boxes for point P in the applet. We may also represent point Pin function notation as M(0 ) =54210 Use this function value to solve for yo-
M(0=yo-b
=y0
Thus,we may conclude that
=54210
Now,using this value for yo, we can write M(t)=
.bt
