A copier purchased new for $4,800 depreciates in value $500 each year.
1. The function that models this equation is _
2. The rate of change for the function is _
3. The model predicts that the value of the copier after 3 years will be _
4. The model predicts that the value of the copier after 7 years will be _
Word bank
$3,300
$1,500
V(x) = 500x + 4800
$4800/1 copier
V(x) = -500x + 4800
$1,300
-$500/1 year
$4,300
1. The function that models this equation is V(x) = -500x + 4800.
2. The rate of change for the function is -$500/1 year.
3. The model predicts that the value of the copier after 3 years will be V(3) = -500(3) + 4800 = $3,300.
4. The model predicts that the value of the copier after 7 years will be V(7) = -500(7) + 4800 = $1,500.
1. The function that models this equation is V(x) = -500x + 4800.
2. The rate of change for the function is -$500/1 year.
3. The model predicts that the value of the copier after 3 years will be V(3) = -500(3) + 4800 = $3,300.
4. The model predicts that the value of the copier after 7 years will be V(7) = -500(7) + 4800 = $1,500.
1. The function that models this equation is V(x) = -500x + 4800, where V(x) represents the value of the copier after x years.
Explanation:
To find the function that models the depreciation of the copier, we need to consider the initial value of the copier and the rate at which it depreciates. In this case, the initial value of the copier is $4800, and it depreciates by $500 each year.
Since the value decreases over time, we use a negative sign before the depreciation value. Therefore, the function that models this equation is V(x) = -500x + 4800.
2. The rate of change for the function is -$500/1 year.
Explanation:
The rate of change represents how much the value of the copier changes with respect to time. In this case, the copier depreciates by $500 each year. We express this rate of change as -$500 because the value is decreasing.
3. The model predicts that the value of the copier after 3 years will be $3,300.
Explanation:
To find the value of the copier after a certain number of years, we substitute the given value of x into the function V(x). In this case, we want to find the value after 3 years, so we substitute x = 3 into the function:
V(3) = -500(3) + 4800
V(3) = -1500 + 4800
V(3) = 3300
Therefore, the model predicts that the value of the copier after 3 years will be $3,300.
4. The model predicts that the value of the copier after 7 years will be $1,300.
Explanation:
To find the value of the copier after 7 years, we substitute x = 7 into the function:
V(7) = -500(7) + 4800
V(7) = -3500 + 4800
V(7) = 1300
Therefore, the model predicts that the value of the copier after 7 years will be $1,300.