You spend $1000 on a computer and for tax purposes chose to depreciate it (or assume it decreases in value) to $0 at a constant rate over a 4-year period.
a) calculate the rate of chage of the assumed value of the equipment over 4 years.
The rate of change is____
b) create a table showing the value of the equipment over 4 years
x. y.
0 1000
1
2
3
4
c) create a function, V (t), for the value pf the computer over time, t, in years.
V (t)=___^^
d)domain:____
range:___
the rate of change is -250
b)
0...1000
1...750
2...500
3...250
4...0
c)
1000-250t
minu b/c it DEPRECIATES
Please use the same name for your posts.
the range and the domain need to be written in inequalities, use V for V (t)
a) To calculate the rate of change of the assumed value of the equipment over 4 years, we need to find the decrease in value per year.
Given that the computer depreciates to $0 over 4 years, we can divide the initial value ($1000) by the number of years (4) to find the decrease in value per year:
$1000 / 4 = $250
The rate of change is $250 per year.
b) To create a table showing the value of the equipment over 4 years, we can use the rate of change calculated in part a).
The table would look like this:
x y
0 $1000
1 $750 (obtained by subtracting $250 from the previous value)
2 $500
3 $250
4 $0
c) To create a function, V(t), for the value of the computer over time, t, in years, we can use the rate of change from before.
The function would be:
V(t) = $1000 - ($250 * t)
This equation represents the initial value of the computer minus the decrease in value per year multiplied by the number of years.
d) The domain represents all possible values of t (the number of years), so in this case, the domain would be t ≥ 0 since we are considering the value of the computer over time.
The range represents the possible values for V(t) (the value of the computer). Since the computer depreciates to $0, the range would be V(t) ≥ 0, as the value cannot be negative.