Answer :
We are given that the model is 15 inches tall and the scale is 1 inch : 6.2 meters. This means that for every 1 inch on the model, the actual statue has a height of 6.2 meters.
Let [tex]$x$[/tex] be the height of the Statue of Liberty in meters. The proportion between the model and the statue is set up as follows:
[tex]$$
\frac{1}{6.2} = \frac{15}{x}.
$$[/tex]
This equation relates 1 inch on the model to 6.2 meters on the statue, and 15 inches on the model to [tex]$x$[/tex] meters on the statue. This corresponds to option D.
To solve for [tex]$x$[/tex], we cross-multiply:
[tex]$$
1 \cdot x = 6.2 \cdot 15.
$$[/tex]
Thus,
[tex]$$
x = 6.2 \times 15.
$$[/tex]
After calculating, we find that
[tex]$$
x = 93 \text{ meters}.
$$[/tex]
Therefore, the correct equation and answer are given in option D, and the height of the statue is 93 meters.
Let [tex]$x$[/tex] be the height of the Statue of Liberty in meters. The proportion between the model and the statue is set up as follows:
[tex]$$
\frac{1}{6.2} = \frac{15}{x}.
$$[/tex]
This equation relates 1 inch on the model to 6.2 meters on the statue, and 15 inches on the model to [tex]$x$[/tex] meters on the statue. This corresponds to option D.
To solve for [tex]$x$[/tex], we cross-multiply:
[tex]$$
1 \cdot x = 6.2 \cdot 15.
$$[/tex]
Thus,
[tex]$$
x = 6.2 \times 15.
$$[/tex]
After calculating, we find that
[tex]$$
x = 93 \text{ meters}.
$$[/tex]
Therefore, the correct equation and answer are given in option D, and the height of the statue is 93 meters.
