Answer:
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