10)
A business machine purchased new for $4500 loses $600 per year in value. Which is the rate of change in this situation?
-600
4500
600x

-600

Step-by-step explanation:

The rate of change of a function f(x) in a certain interval is the ratio between the change of the function and the change in the value of x:

The rate of change of a function tells how much the value of the function is changing per change in unit of x: therefore, for a linear function it corresponds to the slope of the line.

In this problem, the function f(x) is equal to the value of the business machine in dollars, while the variable x represents the number of years.

Here we are told that the machine was purchased for

while its value decreases by $600 each year, so

This means that the linear function that represents the value of the machine after x years is:

Therefore, the rate of change of the function is -600.

answer: y=4000x+14000

step-by-step explanation: