Problema Solution
You purchase a new SUV for $28,000. After 3 years it will have deprecated to $22,000. Write the value V of the SUV as a linear equation of t, the number of years since the SUV was purchased. What was the value of the SUV after 5 years?
Answer provided by our tutors
V(t) = a*t + b,
where a and b are constants
for t = 0 years
V(0) = 28,000
a*0 + b = 28000
b = 28000
for t = 3 years
v(3) = 22000
a*3 + 28000 = 22000
a*3 = 22000 - 28000
a = - 6000/3
a = -2000
the linear equation is
V(t) = -2000*t + 28000
after 5 years that is for t = 5 we get
V(5) = -2000*5 + 28000
V(5) = $18,000
The value of the SUV after 5 years was $18,000.