To find the relationship between the number of muffins (m) and the number of blueberries (b), we can look at the table provided and identify a pattern.
From the data:
- For 16 muffins, there are 144 blueberries.
- For 20 muffins, there are 180 blueberries.
- For 24 muffins, there are 216 blueberries.
- For 28 muffins, there are 252 blueberries.
- For 32 muffins, there are 288 blueberries.
Now, let's compute the ratio of blueberries to muffins for each case:
- For 16 muffins: \( \frac{144}{16} = 9 \)
- For 20 muffins: \( \frac{180}{20} = 9 \)
- For 24 muffins: \( \frac{216}{24} = 9 \)
- For 28 muffins: \( \frac{252}{28} = 9 \)
- For 32 muffins: \( \frac{288}{32} = 9 \)
We can see that the number of blueberries per muffin (b/m) is consistently 9. Therefore, the relationship between b and m can be expressed as:
\[ b = 9m \]
Thus, the correct equation Joanie can use to find b in relation to m is option B:
B. b = 9m