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 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.

a. The ratio of the height of the building to the number of floors is

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

∴

∴ The ratio of the height of the building to the number of floors is

b.

To find the unit rate divide the both terms of the ratio by 7

∵  

∴  

∴  

∴ The unit rate is 14 feet per floor

The unit rate is the constant of proportionality in this situation