Answer: The average rate of change is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The points (1, 2); (2, 2.5); (3, 3); (4, 3.5) and (5, 4) belong to the line shown in the graph attached.
The average rate of change for the sequence is the slope and you can calculate it with the formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Then, choose two points of the line and substitute them into
:
Let's choose the point (1,2) and the point (2,2.5). Then:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{2.5-2}{2-1}\\\\m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2.5-2%7D%7B2-1%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B1%7D%7B2%7D)
200 - (2x) = 42
200 - 42 = 2x
158/2 = 2x/2
x = 79
he is 79 years old
hope this helps
a wise 'old' man
<span>>
55>35
The correct answer is > because 55 is larger than 35 and that is the sign for larger than
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