5. The diameter of the moon is 2160 miles. A model has a scale of 1 inch $$ =150 $$ miles. What is the diameter of the model( inches)?

Question

UpStudy AI · Accepted Answer

To determine the diameter of the model Moon based on the given scale, follow these steps:

**Given:**
- **Actual diameter of the Moon:** 2,160 miles
- **Scale of the model:** 1 inch $$ = $$ 150 miles

**Step 1: Understand the Scale**
The scale tells us that **1 inch** on the model represents **150 miles** in reality.

**Step 2: Set Up the Proportion**
To find out how many inches the model's diameter will be, use the following proportion:

$$
\frac{1 \text{ inch}}{150 \text{ miles}} = \frac{x \text{ inches}}{2,160 \text{ miles}}
$$

**Step 3: Solve for $$ x $$ (the model's diameter in inches)**
$$
x = \frac{2,160 \text{ miles} \times 1 \text{ inch}}{150 \text{ miles}} = \frac{2,160}{150} = 14.4 \text{ inches}
$$

**Answer:**
The diameter of the model Moon is **14.4 inches**.
The model Moon's diameter is 14.4 inches.

The diameter of the moon is 2160 miles. A model has a scale of
1 inch miles. What is the diameter of the model( inches)?

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Pre Algebra Questions

The diameter of the moon is 2160 miles. A model has a scale of 1 inch miles. What is the diameter of the model( inches)?