Question

Please I need help ASAP The answer choices $1,300 .  $1,500  .  $3,300 .   $4,300 .   $4800/1 copier .   -$500/1 year .   V(x) = −500x + 4800 .    V(x) = 500x + 4800

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 .

Answer 1

A copier purchased new for $4,800 depreciates in value $500 each year.

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 $3,300 .

4. The model predicts that the value of the copier after 7 years will be $1,300 .

Answer 2

1. The function that models this equation is:

Since the value V (x) of the copier depreciates over time, hence the 500 must be negative, therefore the equation:

V(x) = −500x + 4800

2. The rate of change for the function is:

The rate of change is also equivalent to the slope of the equation, in this case the slope is equal to:

-$500/1 year

3. The model predicts that the value of the copier after 3 years will be:

Substituting the value of x = 3 to the function gives us:

V(x) = −500 (3) + 4800

V(x) = $3,300

4. The model predicts that the value of the copier after 7 years will be:

Substituting the value of x = 7 to the function gives us:

V(x) = −500 (7) + 4800

V(x) = $1,300