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Charles and his friends started a community group in 2008 to address problems in their neighborhood and to host civic events. The group began with 40 members, and the number of members changed over time as shown in the graph, where the y-axis represents the number of members and the x-axis represents the number of years since 2008.

Which statement is true?

A.

The function indicates that the number of members is increasing at a rate that is constant.

B.

The function indicates that the number of members is increasing at a rate that is not constant.

C.

The function indicates that the number of members is decreasing at a rate that is constant.

D.

The function indicates that the number of members is decreasing at a rate that is not constant.

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CTFHicks47 CTFHicks47 · Answer 1 · 2019-04-04T16:43:00+02:00

Answer:

B.

Step-by-step explanation:

Because the graph shown is not constant, if you look at when it hits a whole unit. It is increasing because it is moving right.

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virtuematane virtuematane · Answer 2 · 2019-05-15T11:44:51+02:00

The true statement is:

B.

The function indicates that the number of members is increasing at a rate that is not constant.

We could write the data points as is given on the graph as follows:

x y

0 40

1 50

2 60

3 80

4 100

5 120

6 150

7 190

8 240

9 300

10 370

Hence, the rate of change from x=0 to x=1 is:

[tex]Rate=\dfrac{50-40}{1-0}\\\\\\Rate=\dfrac{10}{1}\\\\\\Rate=10[/tex]

Rate of change from x=3 to x=5 is:

[tex]Rate=\dfrac{120-80}{5-3}\\\\\\Rate=\dfrac{40}{2}\\\\\\Rate=20[/tex]

Hence, the rate is not constant.

Also we could see that with the increasing value of x the y-value also increases.

Hence, option: B is the correct answer.