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Answer :
We are told that the scale model of the Statue of Liberty is 15 inches tall and that the scale is 1 inch : 6.2 meters. This means that every 1 inch on the model represents 6.2 meters on the actual statue.
Let the height of the actual statue be [tex]$x$[/tex] meters. Since 1 inch on the model corresponds to 6.2 meters on the statue, the proportion can be set up as follows:
[tex]$$
\frac{1 \text{ inch}}{6.2 \text{ m}} = \frac{15 \text{ inches}}{x \text{ m}}
$$[/tex]
This proportion is written mathematically as:
[tex]$$
\frac{1}{6.2} = \frac{15}{x}
$$[/tex]
This is the correct equation to determine [tex]$x$[/tex], the height in meters of the actual Statue of Liberty. Option c represents this equation.
To verify, we can cross multiply:
[tex]$$
1 \cdot x = 6.2 \cdot 15
$$[/tex]
Thus,
[tex]$$
x = 15 \times 6.2 = 93.0 \text{ meters}
$$[/tex]
So, the height of the actual Statue of Liberty is 93 meters, and the correct equation is:
[tex]$$
\frac{1}{6.2} = \frac{15}{x}
$$[/tex]
Let the height of the actual statue be [tex]$x$[/tex] meters. Since 1 inch on the model corresponds to 6.2 meters on the statue, the proportion can be set up as follows:
[tex]$$
\frac{1 \text{ inch}}{6.2 \text{ m}} = \frac{15 \text{ inches}}{x \text{ m}}
$$[/tex]
This proportion is written mathematically as:
[tex]$$
\frac{1}{6.2} = \frac{15}{x}
$$[/tex]
This is the correct equation to determine [tex]$x$[/tex], the height in meters of the actual Statue of Liberty. Option c represents this equation.
To verify, we can cross multiply:
[tex]$$
1 \cdot x = 6.2 \cdot 15
$$[/tex]
Thus,
[tex]$$
x = 15 \times 6.2 = 93.0 \text{ meters}
$$[/tex]
So, the height of the actual Statue of Liberty is 93 meters, and the correct equation is:
[tex]$$
\frac{1}{6.2} = \frac{15}{x}
$$[/tex]
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