Answer:
a. The ratio of the height of the building to the number of floors is ![\frac{98}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B98%7D%7B7%7D)
b. The unit rate is 14 feet per floor. The unit rate is the constant of proportionality in this situation
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent
Example; If y is proportion to x, then
= constant ratio, this constant ratio is called the constant of proportionality
∵ The height of a building is proportional to the number of floors
- If the height is h and the number of floors is n
∴
= k, where k is the constant of proportionality
∵ The building is 7 floors
∴ n = 7
a.
∵ The height of the building is 98 feet
∴ h = 98
∵ n = 7
∴ ![\frac{h}{n}=\frac{98}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bn%7D%3D%5Cfrac%7B98%7D%7B7%7D)
∴ The ratio of the height of the building to the number of floors is ![\frac{98}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B98%7D%7B7%7D)
b.
To find the unit rate divide the both terms of the ratio by 7
∵ ![\frac{h}{n}=\frac{98}{7}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bn%7D%3D%5Cfrac%7B98%7D%7B7%7D)
∴ ![\frac{h}{n}=\frac{98/7}{7/7}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bn%7D%3D%5Cfrac%7B98%2F7%7D%7B7%2F7%7D)
∴ ![\frac{h}{n}=\frac{14}{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7Bn%7D%3D%5Cfrac%7B14%7D%7B1%7D)
∴ The unit rate is 14 feet per floor
The unit rate is the constant of proportionality in this situation