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A coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).
<h3>What is directly proportional?</h3>It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.
It is given that there is a proportional relationship between cost and pints of blueberries as,
Blueberries (in pints) 2 5
Cost (in dollars) 6.80 17
17/6.80 = 5/2
As we draw the graph and analyze each option one by one we get the graph shown by the statement C following the given proportional relationship.
Thus, a coordinate plane with the x-axis labeled Blueberries (in pints) and the y-axis labeled Cost (in dollars) shows a line going through (0, 0) and (5, 17).
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The image is decomposed as follows: H1 and H2. Where original graph is Hx.
<h3>Are the images (attached) valid decompositions of the original graph?</h3>- Yes, they are because, H1 and H1 are both sub-graphs of Hx; also
- H1 ∪ H2 = Hx
- They have no edges in common.
Hence, {H1 , H2} are valid decomposition of G.
<h3>What is a Graph Decomposition?</h3>A decomposition of a graph Hx is a set of edge-disjoints sub graphs of H, H1, H2, ......Hn, such that UHi = Hx
See the attached for the Image Hx - Pre decomposed and the image after the graph decomposition.
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