Question

the height of a building is proportional to the number of floors. the figure shows the height of a building with 8 floors. complete parts a and b.

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 (square). the unit rate is (square). this means that each floor of the building is (square) ft high.

Explanation:

Step1: Find the ratio of height to floors

The height \(h = 104\) ft and the number of floors \(n=8\). The ratio of height to floors is \(\frac{104}{8}\).

Step2: Simplify the ratio to get the unit rate

Divide \(104\) by \(8\): \(\frac{104\div8}{8\div8}=\frac{13}{1}\)

Answer:

The ratio of height of the building to the number of floors is \(\frac{104}{8}\). The unit rate is \(\frac{13}{1}\). This means that each floor of the building is \(13\) ft high.