A photo is 6 inches long. Kamala enlarged the photo so that it is twelve inches long. By keeping the same proportion of the photo, what would be the width of the photo if the enlarged photo is 8 inches wide?

Two images of rectangles. The first is six inches long and ? wide. The second is twelve inches long and eight inches wide

Does this relationship represent direct or inverse variation? (1 point)
Using the appropriate formula, find k. (1 point)
Show your work and calculate the width of the original photo. (2 points)

Question

A photo is 6 inches long. Kamala enlarged the photo so that it is twelve inches long. By keeping the same proportion of the photo, what would be the width of the photo if the enlarged photo is 8 inches wide? 

Two images of rectangles. The first is six inches long and ? wide. The second is twelve inches long and eight inches wide 

Does this relationship represent direct or inverse variation? (1 point) 
Using the appropriate formula, find k. (1 point) 
Show your work and calculate the width of the original photo. (2 points)

anonymous · Answer

help please

anonymous · Answer

$$\frac{ 6 }{ 12 }=\frac{ x }{ 8 }$$
Solve for x.

anonymous · Answer

4

anonymous · Answer

good, thats teh first one.

anonymous · Answer

you had to set up the ratio like that.

anonymous · Answer

ok so it is 4 wide

anonymous · Answer

ok so what you see here is when the height increases, it is directly proportional, since both height and width are modeled by a direct ratio.

anonymous · Answer

oh that makes sense

anonymous · Answer

hm...idk what the stuff about "k" is and original formula. 
My best guess is they want the exact direct proportion, so you'd have something like 
h=k*w
where h is height and w is width

anonymous · Answer

ok thank you

anonymous · Answer

or maybe they are looking for constant of proportionality, so k in this case is 2.

anonymous · Answer

sorry, I can't remember the generic formula

anonymous · Answer

is alright thank you so much for your help