Question

Use the image to answer the question.

Four different configurations of tiles are labeled 1–4.

Analyze the tile pattern and write a function for the pattern. Use x for the image number and y for the number of tiles in each image.

(2 points)
The function modeled by the pattern is
, since the slope is
and the y-intercept is
.
Remaining Attempts : 3
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Answer 1

To provide an accurate function for the tile pattern and the specific values for slope and y-intercept, I would need to analyze the image directly. However, since I don’t have access to the image, I can help guide you on how to create the function yourself based on common patterns.

1. **Identify the Pattern**: Look at the number of tiles in each image:
- Count the number of tiles for each configuration (Image 1, Image 2, Image 3, Image 4) and note them down.

2. **Plot the Points**: Using the image number (x) and the number of tiles (y), create points. For example:
- If Image 1 has 4 tiles it will be (1, 4)
- If Image 2 has 7 tiles it will be (2, 7), and so on.

3. **Determine the Slope (m)**: The slope can be determined using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Pick two points from your plot to calculate the slope.

4. **Find the y-intercept (b)**: You can use the slope-intercept form of a linear equation \(y = mx + b\). Select one of your points to find b by plugging in the x and y from that point.

5. **Formulate the Equation**: Your function will take the form of:
\[
y = mx + b
\]

If you can provide the specific numbers for each image, I can help you determine the exact function, slope, and y-intercept!