A building is 900 feet tall and 150 feet wide. A
scale model of the building is 3 feet tall.
Which proportion can be used to find the width, w
, of the scale model?
A 900
150 =
3
w
B 900
3 =
w
150
C 150
900 =
3
w
D 150
3 =
900
w
900/3 = 150/w
To find the proportion that can be used to find the width of the scale model, we need to compare the corresponding measurements of the actual building and the scale model.
Given:
Actual building height (A) = 900 feet
Actual building width (B) = 150 feet
Scale model height (S) = 3 feet
Scale model width (W) = ?
We can set up the proportion as follows:
(A / B) = (S / W)
Substituting the given values, the proportion becomes:
(900 / 150) = (3 / W)
Simplifying the equation gives us:
6 = (3 / W)
To solve for W, we can cross multiply the proportion:
6W = 3
Divide both sides of the equation by 6 to isolate W:
W = 3 / 6
Simplifying further, we have:
W = 1/2
Therefore, the proportion that can be used to find the width of the scale model is:
D) 150/3 = 900/w