To find the scale factor for the number of pears, we can rewrite the multiplication equation \(8 \cdot ? = 12\) as a division equation.
Setting up the division equation:
\[ ? = \frac{12}{8} \]
Now we simplify the fraction:
\[ ? = \frac{12 \div 4}{8 \div 4} = \frac{3}{2} = 1.5 \]
So the scale factor is \(1.5\). This means that the number of pears is increasing by a factor of \(1.5\).
Now, we can use this scale factor to find the cost of 12 pears. Since the cost of 8 pears is $2, we can multiply this by the scale factor to find the price for 12 pears:
Finding the cost of 12 pears:
\[ \text{Cost of 12 pears} = 2 \cdot 1.5 \] \[ = 3 \]
Thus, the cost of 12 pears will be $3.
Final table:
| Number of Pears | Price | |------------------|-----------| | 8 | $2 | | 12 | $3 |