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.

Question

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

Answer 1

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:

$$\frac{L}{H}=3$$

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: $4=3\times 9$ → Not true (since $4\ne 27$)

2. Z dot: (3, 9)

   • Length = 3, Height = 9
   • Check: $3=3\times 9$ → Not true (since $3\ne 27$)

3. X dot: (3, 6)

   • Length = 3, Height = 6
   • Check: $3=3\times 6$ → Not true (since $3\ne 18$)

4. W dot: (3, 9)

   • Length = 3, Height = 9
   • Check: $3=3\times 9$ → Not true (since $3\ne 27$)

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:

$$H=\frac{L}{3}=\frac{3}{3}=1$$

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

$$H=\frac{4}{3}\approx 1.33$$

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

$$H=\frac{6}{3}=2$$

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.