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

If something keeps the same proportion, that means every dimension is being multiplied by the same number.  So, if the first photo is 6 inches long and the second photo is 12 inches long, you can figure out what you would have to multiply by to get from the first to the second, and repeat for the width.

As for direct or inverse variation, if as one number goes up, so does the other, it's direct (this is a bit simplified, but generally is the concept). If one number goes up and the other goes down, it's inverse.  The length and width are both going up in this case.

anonymous · Answer

um can you explaine it a little more please

anonymous · Answer

thanks

anonymous · Answer

1. Does this relationship represent direct or inverse variation?

Well, you're blowing up the picture, right?  The length goes from 6 to 12.  Is the width going to get larger or smaller?  If the length AND the width both get larger, it's direct variation.  If the length gets larger, but the width gets smaller (proportionally), it's inverse variation (inverse is a fancy word for opposite).

Think of it like this: The more popular you are, the more friends you have.  That's direct.  The more people that buy a present together, the less each will have to spend. That's inverse.

2. Find k.  

If I'm not mistaken, k is just the number that you have to multiply the first number by to get to the second.  So if the length of the small picture is 6 and the big is 12, what did you have to multiply by?

3.  What's the width of the small photo if the big photo is 8 inches wide.

Well, you multiplied 6 by some number to get 12.  So you have to multiply the small width by the SAME number to get 8.  If you solved #2, this shouldn't be too difficult.

fallenangelorchid · Answer

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anonymous · Answer

@fallenangelorchild omfg that comment, I can't.