Question

The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.

Answer 1

Answer:

Step-by-step explanation:

Let's take the points displayed on this graph:

(300, 3) (200, 6) and (100, 9).

Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.

3 years after original purchase: $300

Increase years by three, value goes down by $100

6 years after original purchase: $200

The rate of change in this situation means that for every  resale three years after the original purchase, the value will decrease by $100.

Answer 2

The rate of change shows for how much change in input(usually on horizontal axis), how much the output changes(usually on vertical axis).

The rate of change for the given situation is given by -100/3

How to identify the rate of change?

It is the fraction of the change in output to change in input. We take fraction so as to get the value of change in output as the input changes by single unit.

How to identify the rate of change in the given condition?

Since it is clearly visible that as the value on horizontal axis changes by 3 units, the value on vertical axis drops by 100 units. Since the value on horizontal axis decreased, we will write it with negative sign (since if you go from top to bottom on vertical axis, the values become smaller and smaller and as you go from right to left, the values on horizontal axis become smaller and smaller).

Thus, the rate is: $\dfrac{\text{Corresponding difference in Amounts}}{\text{Difference in Years after original purchase}} = -\dfrac{100}{3}$

or the output changes by -100/3 units per unit increase in input.

Thus,

The rate of change for the given situation is given by -100/3

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