Assume the tractor has an initial price of $31500.00 and sells for $3200.00 after 21 years. Assume that the tractor’s value depreciates linearly with the passing years.

(a) Let V represent the tractor's value in dollars and let t represent the number of years since the tractor was purchased. Write a formula to express the tractor's value as a function of time: V(t)=

(b) Horizontal intercept of the value function V(t):

Vertical intercept of the value function V(t):

Question

Assume the tractor has an initial price of $31500.00 and sells for $3200.00 after 21 years. Assume that the tractor’s value depreciates linearly with the passing years. 

(a) Let V represent the tractor's value in dollars and let t represent the number of years since the tractor was purchased. Write a formula to express the tractor's value as a function of time: V(t)= 

 

(b) Horizontal intercept of the value function V(t): 
 
Vertical intercept of the value function V(t):

pulsified333 · Answer

@dan815

mathmale · Answer

Linear depreciation begins with the tractor's initial value in year 0.  What is that value?
You'll need to set up coordinate axes (x represented by the horiz. axis, V by the vertical axis).  Mark the initial value of the tractor on the vertical axis.  From that time on, the tractor depreciates (loses value) at a steady rate until 21 years have passed.  Draw a vertical line through x=21 and mark the final value of the tractor on that line:  $3200.

Can you share your sketch?

What is the slope of this downward-sloping line?

Write a formula for the value of the tractor as a function of time.  It will look like

V(x) = (initial value) + (slope of line) * x.          or   V(x) = mx + b

pulsified333 · Answer

-28300/21t+31500 for the formula is correct i think i got it thanks man