The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of ch

Solution:

The change in rate between the coordinates (–3, 0) and (–2, –5) is:

                          -5

Comprehensive explanation:

The rate of change from the coordinates (-5, 10) to (-4, 5) equals -5.

Next, we need to calculate the average rate of change for the points (-3,0) and (-2,-5)

For two points (a,b) and (c,d), the formula for the average rate of change is given by:

Here, we have:

(a,b)=(-3,0) and (c,d)=(-2,-5)

Thus, the average rate of change is:

It's important to note that for any linear function, the average rate of change remains constant across any two points.

           Thus, the result is:

                        -5

Solution:

The change rate amounts to -5

Detailed explanation: