College

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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.

Which equation can Howard use to determine [tex]x[/tex], the height in meters, of the Statue of Liberty?

A. [tex]15x = 6.2[/tex]

B. [tex]6.2x = 15[/tex]

C. [tex]\frac{1}{6.2} = \frac{x}{15}[/tex]

D. [tex]\frac{1}{6.2} = \frac{15}{x}[/tex]

Answer :

To determine the height in meters of the actual Statue of Liberty using the scale model information, we can set up the problem as follows:

1. Understand the scale: The scale is given as 1 inch on the model corresponds to 6.2 meters in real life.

2. Model height: The model of the Statue of Liberty is 15 inches tall.

3. Set up the proportion: According to the scale, [tex]\( \frac{\text{model height in inches}}{1 \text{ inch}} = \frac{\text{actual height in meters}}{6.2 \text{ meters}} \)[/tex].

Given that the model height is 15 inches, substitute into the proportion:
[tex]\[
\frac{15}{1} = \frac{x}{6.2}
\][/tex]

4. Solve for [tex]\( x \)[/tex]: Multiply both sides by 6.2 to isolate [tex]\( x \)[/tex]:
[tex]\[
15 \times 6.2 = x
\][/tex]

5. Result: Solve the equation to find [tex]\( x \)[/tex], giving us the height of the actual Statue of Liberty in meters.

Therefore, the correct equation Howard can use is (A) [tex]\( 15 \times x = 6.2 \)[/tex].

The height of the actual Statue of Liberty is found to be approximately 0.41 meters, when [tex]\( x \)[/tex] is solved.

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada