Answer:
a. The ratio of the height of the building to the number of floors is [tex]\frac{98}{7}[/tex]
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 [tex]\frac{y}{x}[/tex] = 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
∴ [tex]\frac{h}{n}[/tex] = 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
∴ [tex]\frac{h}{n}=\frac{98}{7}[/tex]
∴ The ratio of the height of the building to the number of floors is [tex]\frac{98}{7}[/tex]
b.
To find the unit rate divide the both terms of the ratio by 7
∵ [tex]\frac{h}{n}=\frac{98}{7}[/tex]
∴ [tex]\frac{h}{n}=\frac{98/7}{7/7}[/tex]
∴ [tex]\frac{h}{n}=\frac{14}{1}[/tex]
∴ The unit rate is 14 feet per floor
The unit rate is the constant of proportionality in this situation
