What is the scale factor for the set of similar figures?

Question

errinss · Answer

attachment

vocaloid · Answer

small figure side length/big figure side length = 12/16 = ?

errinss · Answer

.75?

vocaloid · Answer

good

this is the scale factor. we multiply 0.75 * 16 to get 12

mathmate · Answer

Yes.
The scale factor is 
length of one side of the image (after scaling)
-------------------------------------------------------
length of the corresponding side of the preimage (before scaling)

mathmate · Answer

Scale factors are between 0 to 1 if the image (after scaling) is smaller than the preimage (original).
Scale factors are greater than 1 if the image is larger than the preimage.

errinss · Answer

can you help me with another @mathmate

errinss · Answer

What is the scale factor for the set of similar figures?

mathmate · Answer

Can you tell me which one is the preimage (the "original") and which one is the image (the scaled figure?)

errinss · Answer

7in is the original and 23.1in is the scaled figure

mathmate · Answer

Exactly.
Do you still remember how to calculate the scale using these two numbers?

errinss · Answer

7/23.1

errinss · Answer

i got .3030303030- it keeps repeating

mathmate · Answer

Remember:
The scale factor is 
length of one side of the image (after scaling)
-------------------------------------------------------
length of the corresponding side of the preimage (before scaling)

in short:
new/old.

errinss · Answer

oh!!!!

mathmate · Answer

So, what do you get?

errinss · Answer

3.3

mathmate · Answer

Exactly!  Well-done!

errinss · Answer

woohoo ^-^