Question

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 change between the points (–3, 0) and (–2, –5)?

Answer 1

the rate of change is -5

Explanation:

Answer 2

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

-5

Explanation:

The rate of change between the points (-5, 10) and (-4, 5) is -5.

Now we are asked to find the average rate of change between (-3,0) and (-2,-5)

We know that the average rate of change between two points (a,b) and (c,d) is calculated by the formula:

`Rate\ of\ change=(d-b)/(c-a)`

Here we have:

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

Hence, the average rate of change is:

`Rate\ of\ change=(-5-0)/(-2-(-3))\\\\\\Rate\ of\ change=(-5)/(-2+3)\\\\\\Rate\ of\ change=-5`

Also, we know that for any linear function the average rate of change is same between any two points.

Hence, the answer is:

-5