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
(Only use one of the choices per question)
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.
Explanation: The value of the copier decreases by $500 each year, which can be represented as -500x. The initial value of the copier is $4800, so it is added as the constant term, resulting in 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 decreases each year, which is -$500/1 year.
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 3 years, substitute x = 3 into the function V(x) = -500x + 4800:
V(3) = -500(3) + 4800
= -1500 + 4800
= $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, substitute x = 7 into the function V(x) = -500x + 4800:
V(7) = -500(7) + 4800
= -3500 + 4800
= $1,300.