The cheerleading squad is creating banners for an upcoming pep rally. The proportion of length to height for the banners must be 3 to 1.

Which graph represents this proportion?

W.
X.

Y.
Z.
A.
W
B.
X
C.
Z
D.
Y

Y dot: 4,9
Z dot: 3,9
X dot: 3,6
W dot: 3,9

1 answer

To represent the proportion of length to height as 3 to 1, we can express this as an equation. If we denote length as L and height as H, then the relationship can be written as:

LH=3

This can also be rearranged to show that:

L=3H

For each of the given points, we'll evaluate them by checking if they satisfy this equation.

  1. Y dot: (4, 9)

    • Length = 4, Height = 9
    • Check: 4=3×9 → Not true (since 427)
  2. Z dot: (3, 9)

    • Length = 3, Height = 9
    • Check: 3=3×9 → Not true (since 327)
  3. X dot: (3, 6)

    • Length = 3, Height = 6
    • Check: 3=3×6 → Not true (since 318)
  4. W dot: (3, 9)

    • Length = 3, Height = 9
    • Check: 3=3×9 → Not true (since 327)

From the above checks, since none of the given points satisfy the proportion of 3 to 1, it seems there might be a misunderstanding in interpreting the question or the data provided.

Since we're actually looking for a graph that appropriately represents the ratio of length to height of 3 to 1, we can calculate the expected height based on the lengths of the dots given.

For a banner with a length of 3, the expected height according to the ratio would be:

H=L3=33=1

For a banner with a length of 4, the expected height is:

H=431.33

For a banner with a length of 6, the expected height is:

H=63=2

None of the points as they stand represents this exact ratio. Please reevaluate the data or clarity on dimensions required to further determine which may represent a ratio approaching 3 to 1 properly.