a machine originally cost $15,600 and at the end of 3 years value of $7500. what is the average rate of change in value per year of the machine between its purchase and the end of 3 years.
15,600 - 3x = 7500
Solve for x.
what is the equation for the linear function from the machines purchase to the end of 3 years?
To find the average rate of change in value per year of the machine, you need to calculate the difference in value between the purchase and the end of 3 years, and then divide it by the number of years.
The initial value of the machine is $15,600, and at the end of 3 years, its value is $7,500. To calculate the difference in value, you subtract the final value from the initial value: $7,500 - $15,600 = -$8,100.
Since the difference is negative, it means that the machine has depreciated in value over the 3-year period. Now, divide the difference in value by the number of years, which is 3, to find the average rate of change:
-$8,100 ÷ 3 = -$2,700.
Therefore, the average rate of change in value per year of the machine between its purchase and the end of 3 years is -$2,700 (negative $2,700). This means that, on average, the machine loses $2,700 in value per year.