Answer:
The model swing should be 2.75 cm high.
Step-by-step explanation:
Given:
A 168-cm tall person is 2 cm in Ming’s model.
If the actual swing is 231 cm high.
Now, to find how high should his model swing be.
Let the model swing be [tex]x\ cm.[/tex]
So, 168 cm tall person is equivalent to 2 cm.
Thus, 231 cm actual swing is equivalent to [tex]x\ cm[/tex] model swing.
Now, we get the height of the swing in the model by using cross multiplication method:
[tex]\frac{168}{2} =\frac{231}{x}[/tex]
By cross multiplication:
⇒ [tex]168x=462[/tex]
Dividing both sides by 168 we get:
⇒ [tex]x=2.75\ cm.[/tex]
Therefore, the model swing should be 2.75 cm high.