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 250
d)domain:____
range:___
HINT: the domain and range need to be written inequalities
domain in years 0</= x </= 4
range in dollars 0 </= y </= 1000
To calculate the rate of change of the assumed value of the equipment over 4 years, we first need to determine the change in value per year. Since the equipment depreciates from $1000 to $0 over a span of 4 years, the change in value is given by:
Change in value = Final value - Initial value
Change in value = $0 - $1000
Change in value = -$1000
Next, we calculate the rate of change by dividing the change in value by the total number of years:
Rate of change = Change in value / Total number of years
Rate of change = -$1000 / 4 years
Rate of change = -$250 per year
Therefore, the rate of change of the assumed value of the equipment over 4 years is -$250 per year.
Moving on to the domain and range, let's consider the given information:
Domain represents the possible values for the independent variable, which in this case is time (in years). Since the equipment is being depreciated over a 4-year period, the domain can be described as:
Domain: 0 ≤ time ≤ 4
Range, on the other hand, represents the possible values for the dependent variable, which is the assumed value of the equipment. As per the question, the value decreases to $0, so the range can be described as:
Range: 0 ≤ assumed value ≤ $1000
Therefore, the domain can be written as 0 ≤ time ≤ 4 and the range can be written as 0 ≤ assumed value ≤ $1000.