Question

10)

Answer 1

Answer:

-600

Step-by-step explanation:

The rate of change of a function f(x) in a certain interval $(x_1,x_2)$ is the ratio between the change of the function and the change in the value of x:

$r=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

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

$q=\ 4500$

while its value decreases by $600 each year, so

$m=-600$

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

$y=4500-600x$

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