Final answer:
The scale factor to enlarge a 4 by 5-inch photo to a 24 by 30-inch print is 6.A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.
Step-by-step explanation:
To find the scale factor for enlarging a photo that is 4 inches by 5 inches to a 24 by 30-inch print, you need to compare the sizes of the corresponding sides of the two images. To do this, you should divide a side of the enlarged image by the corresponding side of the original image:
- To compare the width: 24 inches (enlarged) / 4 inches (original) = 6
- To compare the height: 30 inches (enlarged) / 5 inches (original) = 6
Both calculations give us a scale factor of 6. Therefore, the scale factor used to enlarge the photo to a 24 by 30-inch print is 6.
Scale factors are applied to alter the size of the image. The circumstance of increase is frequently referred to as enlargement or magnification.
Given that the preimage is smaller than the image, the situation is enlargement. This implies that the scale factor will also be higher than 1.
Establishing a baseline, say side 8 and side 20 in the preimage and the image respectively. Then, assuming the factor is k, get the factor.
8k = 20
k = 20/8
k = 2.5
The scale factor is 2.5