Middle School

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------------------------------------------------ Howard has a scale model of the Statue of Liberty. The model is 15 inches tall, and the scale of the model to the actual statue is 1 inch : 6.2 meters.

Which equation can Howard use to determine \( x \), the height in meters, of the Statue of Liberty?

A. \( 15x = 6.2 \)

B. \( 6.2x = 15 \)

C. \(\frac{1}{6.2} = \frac{x}{15}\)

D. \(\frac{1}{6.2} = \frac{15}{x}\)

Answer :

Answer:

D

Step-by-step explanation:

Required equation [tex]\frac{1}{6.2} =\frac{15}{X}[/tex]

The height of statue of liberty is 93 meters.

Step-by-step explanation:

Given : Howard has a scale model of the Statue of Liberty. The model is 15 inches tall. The scale of the model to the actual statue is 1 inch : 6.2 meters.

To find : Which equation can Howard use to determine x, the height in meters, of the Statue of Liberty?

Solution :

The model is 15 inches tall.

The scale of the model to the actual statue is 1 inch : 6.2 meters.

Let x be the height in meters of the Statue of Liberty.

According to question, required equation is

[tex]\frac{1}{6.2} =\frac{15}{X}[/tex]

Cross multiply,

x=15 x 6.2

x=93


Therefore, the height of statue of liberty is 93 meters.

Answer:

D

Step-by-step explanation: