Respuesta :
Answer:
9.
Step-by-step explanation:
We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.
First of all we will convert dimensions of poster from feet to inches.
[tex]3\text{ feet}=3\times 12 \text{ inches}=36\text{ inches}[/tex]
[tex]4\frac{1}{2}\text{ feet}=4.5\times 12 \text{ inches}=54\text{ inches}[/tex]
Now let us compare sides of our original photo with corresponding sides of poster.
[tex]\frac{36}{4} =9[/tex]
Now let us compare the second pair of corresponding sides.
[tex]\frac{54}{6} =9[/tex]
We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.
Answer:
The scale factor of this dilation is [tex]9[/tex].
Step-by-step explanation:
Given: You are making a poster to support your friend for homecoming. Your original photo is [tex]4[/tex] inches by [tex]6[/tex] inches. You want the photo on the poster to be [tex]3[/tex] feet by [tex]4\frac{1}{2}[/tex] feet.
The dimensions of original photo are [tex]4[/tex] inches by [tex]6[/tex] inches.
And we want the photo on the poster to be of dimensions [tex]3[/tex] feet by [tex]4\frac{1}{2}[/tex] feet.
Converting the dimensions of poster from feet to inches using the formula:
[tex]1\;\rm{ft}=12\;\rm{inches}\\3\;\rm{ft}=3\times12=36\;\rm{inches}\\4.5\;\rm{ft}=12\times4.5=54\;\rm{inches}[/tex]
Now, comparing the sides of our original photo with corresponding sides of poster:
[tex]\frac{36}{4}=9\;\;\; \&\;\frac{54}{6}=9[/tex]
Here, the sides of poster are [tex]9[/tex] times the sides of our original photo, Therefore, the scale factor of this dilation is [tex]9[/tex].
Learn more about unit conversion here:
https://brainly.com/question/19420601?referrer=searchResults
