Final answer:
An original photo with dimensions of 3 inches by 6 inches, when enlarged by a scale factor of 4/1, will have the new dimensions of 12 inches by 24 inches.
Step-by-step explanation:
To answer the student's question regarding the enlargement of a photo with a scale factor of 4/1, we first need to understand the concept of scaling in mathematics. When a photo is enlarged by a scale factor of 4/1, it implies that each dimension of the original photo is multiplied by 4. Given the original photo's dimensions are 3 inches by 6 inches, we calculate the dimensions of the enlarged photo as follows:
- Enlarge the length by a scale factor of 4: 3 inches × 4 = 12 inches
- Enlarge the width by a scale factor of 4: 6 inches × 4 = 24 inches
Therefore, the dimensions of the enlarged photo would be 12 inches by 24 inches.