The scale factor from Figure A to Figure B is 9. This indicates that Figure B is 9 times larger than Figure A.
To find the scale factor from Figure A to Figure B, you can use the formula:
![\[ \text{Scale Factor} = \frac{\text{Number of Boxes in Figure B}}{\text{Number of Boxes in Figure A}} \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/5csfu7z74ebv1qiklcjldcp2n1lv5npd3d.png)
In this case:
![\[ \text{Scale Factor} = (27)/(3) = 9 \]](https://img.qammunity.org/2022/formulas/mathematics/high-school/1ggy6vqgoqdh0gmbsgdqlmj7i4uroiqkmm.png)
Therefore, the scale factor from Figure A to Figure B is
. This means that Figure B is
times larger than Figure A.
Since Figure B has 27 boxes compared to Figure A's 3, the ratio is 27:3, simplifying to 9:1. This implies that each unit in Figure A has been expanded or scaled up by a factor of 9 in Figure B. The scale factor is crucial in understanding the proportional relationship and size transformation between the two figures.