Answer:
1) Width is 7.5 inches.
2) Width is 12.5 inches.
3) Width is 6.25 inches.
Step-by-step explanation:
We know that the original photo is 5 inches wide and 8 inches long.
The photo is enlarged by a factor.
1)
The new photo Is 12 inches long.
Since the new length is 12 inches, this means that the scale factor is 12/8 or 3/2.
So, the new width will be 3/2 of the old width. Therefore:
[tex]w_{new}=\frac{3}{2}(5)=15/2=7.5\text{ inches}[/tex]
2)
The new photo is 20 inches long.
Since the new length is 20, this means that the scale factor is 20/8 or 5/2.
So, the new width will be 5/2 the old width. Therefore:
[tex]w_{new}=\frac{5}{2}(5)=25/2=12.5\text{ inches}[/tex]
3)
The new photo is 10 inches long.
Since the new length is 10, this means that the scale fats is 10/8 or 5/4.
So, the new width will be 5/4 the old width. Therefore:
[tex]w_{new}=\frac{5}{4}(5)=25/4=6.25\text{ inches}[/tex]
