Question

Question content area top
Part 1
The height of a building is proportional to the number of floors. The figure shows the height of a building with 7 floors. Complete parts a and b.
h equals 98 ft
Question content area bottom
Part 1
a. Write the ratio of height of the building to the number of floors.​ Then, find the unit​ rate, and explain what it means in this situation. Fill in the correct answers to complete the sentences.
The ratio of height of the building to the number of floors is
  
enter your response here. The unit rate is
  
enter your response here. This means that each floor of the building is
  
enter your response here ft high.
The ratio of height of the building to the number of floors is. The unit rate isThe unit rate is. This means that each floor of the building isThis means that each floor of the building isft high.

Answer 1

To find the ratio of the height of the building to the number of floors, we can use the information given:

**Height of the building**: \( h = 98 \) ft
**Number of floors**: \( 7 \) floors

### Part a:
1. **Write the ratio of height to the number of floors**:
\[
\text{Ratio} = \frac{\text{Height}}{\text{Number of floors}} = \frac{98 \text{ ft}}{7 \text{ floors}}
\]

This simplifies to:
\[
\frac{98}{7} = 14 \text{ ft/floor}
\]

2. **Find the unit rate**:
The unit rate is already calculated in the ratio, which is:
\[
14 \text{ ft/floor}
\]

### Explanation:
This means that each floor of the building is \( 14 \) ft high.

### Final answers:
- The ratio of height of the building to the number of floors is **\( 14 \text{ ft/floor} \)**.
- The unit rate is **\( 14 \text{ ft/floor} \)**.
- This means that each floor of the building is **\( 14 \text{ ft} \)** high.