To find the scale factor, we divide 16 by 6:
\[ 16 \div 6 = \frac{16}{6} = \frac{8}{3} \]
This simplifies to \( \frac{8}{3} \).
This means that the scale factor we are looking for is \( \frac{8}{3} \).
Now, we can use this scale factor to find the cost of 16 bananas.
Since the cost of 6 bananas is $3, we can set up the following multiplication equation:
\[ \text{Price of 16 bananas} = \text{Cost of 6 bananas} \times \text{Scale Factor} \]
This gives us:
\[ \text{Price of 16 bananas} = 3 \times \frac{8}{3} \]
Now we can calculate this:
\[ 3 \times \frac{8}{3} = \frac{3 \times 8}{3} = 8 \]
Therefore, the cost of 16 bananas is $8.
Here is the completed table:
| Number of Bananas | Price | |-------------------|-------| | 6 | $3 | | 16 | $8 |