To analyze the weights of the baby alligator as shown in the scatter plot, you should look at the y-intercept of the equations provided. The y-intercept represents the weight of the alligator at week 0 (at birth).
The equations you've shared are:
- \( W = 0.25n + 6 \)
- \( W = 0.65n + 6 \)
- \( W = 6n + 0.25 \)
- \( W = 6n + 0.56 \)
Now, let's identify the y-intercept (the value of \( W \) when \( n = 0 \)) for each equation:
- For \( W = 0.25n + 6 \), when \( n = 0 \), \( W = 6 \).
- For \( W = 0.65n + 6 \), when \( n = 0 \), \( W = 6 \).
- For \( W = 6n + 0.25 \), when \( n = 0 \), \( W = 0.25 \).
- For \( W = 6n + 0.56 \), when \( n = 0 \), \( W = 0.56 \).
Based on the values for when \( n = 0 \):
- The first two equations suggest a weight of 6 units at birth.
- The last two equations suggest weights of 0.25 and 0.56 units, respectively.
Given this information, the weight of the baby alligator at birth (when \( n = 0 \)) is best represented by the values from the first two equations. Since many scatter plots have weights measured in non-decimal or rounded numbers, it is reasonable to assume that a weight of 6 might be the more likely value representing the birth weight.
Therefore, the answer to your question about how much a baby alligator weighs at birth is:
6 units (grams, kilograms, etc., depending on the context of the scatter plot).