The equation -4x+y=0 relates to the number of pages in a photo album y to the number of picture sin the album x. Tell whether the relationship is a direct variation.Explain
What do I plug in
To determine whether the relationship between the number of pages in a photo album (y) and the number of pictures in the album (x) is a direct variation, we need to check if the equation can be written in the form y = kx, where k is a constant.
Let's rearrange the given equation -4x + y = 0:
Start by isolating y by adding 4x to both sides of the equation:
-4x + y + 4x = 0 + 4x
Simplifying, we find:
y = 4x
Now we can see that the equation satisfies the form y = kx, where k = 4. This means that as the number of pictures (x) increases or decreases, the number of pages (y) in the photo album will vary directly by a factor of 4.
Therefore, the relationship between the number of pages and the number of pictures is a direct variation.