Question

figure a
figure b
5 inches
1 1/2 inches
the scale of figure a to figure b is
the scale factor that was applied to figure a to produce figure b is

Explanation:

Step1: Recall scale - factor formula

The scale - factor from Figure A to Figure B is the ratio of a side - length of Figure B to the corresponding side - length of Figure A.

Step2: Identify side - lengths

The side - length of Figure A is 5 inches and the side - length of Figure B is $1\frac{1}{2}=\frac{3}{2}$ inches.

Step3: Calculate scale - factor

The scale - factor $k=\frac{\text{Side of Figure B}}{\text{Side of Figure A}}=\frac{\frac{3}{2}}{5}=\frac{3}{2}\times\frac{1}{5}=\frac{3}{10}=0.3$.
The scale of Figure A to Figure B is $5:\frac{3}{2}=10:3$.

Answer:

The scale of Figure A to Figure B is $10:3$. The scale factor that was applied to Figure A to produce Figure B is $\frac{3}{10}$.