Consider the two functions shown here. What is the rate of change of each function?

Mathematics

1 answer:

Katarina [22]4 years ago

7 0

The rate of change is the same as the slope.

Let's find the slope of function 1 using the Rise Over Run rule.
The rise is 2 and run is 1. So your rate of change is 2/1 or 2 for function 1

Function 2 is a y = mx + b equation, the slope is usually "m" or before the x
y = 1/2x + 7
1/2 is your rate of change for function 2

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Find the diagram to the question attached.

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$(x_0, y_0)$ is coordinate point on the line

First is to get the slope of the line.

$m = \frac{y_2-y_1}{x_2-x_1}$

If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)

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