Question

The line graph shows the number of members during the first few months of a photography club. Describe the data. Then predict the number of members for the sixth month.

Answer 1

Thus, based on the observed pattern and the linear model, we can expect the Photography Club to have 13 members in the sixth month.

Based on the updated coordinate points provided for the graph, which are (1,4), (2,5), (3,7), (4,9), and (5,11), we can describe the data and predict the number of members for the sixth month as follows:

1. Describe the Data:

- At month 1, there are 4 members.

- At month 2, there is an increase to 5 members.

- At month 3, there are 7 members.

- At month 4, there are 9 members.

- At month 5, there are 11 members.

2. Identify the Pattern:

- From month 1 to 2, the increase is 1 member.

- From month 2 to 3, the increase is 2 members.

- From month 3 to 4, the increase is 2 members.

- From month 4 to 5, the increase is 2 members.

3. Predict the Number of Members for the Sixth Month:

- We observe that after the first month, the number of members increases by 2 each month.

- Assuming the pattern continues, we can predict that in the sixth month, the number of members will increase by 2 from the fifth month.

Therefore, the predicted number of members for the sixth month would be:

`\[ 11 \text{ members at month 5} + 2 \text{ increase} = 13 \text{ members at month 6} \]`

We can plot the provided data points and extend the line to the sixth month to visually confirm our prediction. Let's do that.

The linear model fitted to the given data points predicts approximately 12.6 members for the sixth month. Since the number of members must be a whole number, we can round this to 13 members.

Answer 2

The graph shows that more members join the club every month. By the time the sixth months comes the club will have 16 members.