Question

A width of a row of identical townhouses is in a proportional relationship with the number of townhouses. The diagram below suggests a row of 5 townhouses and gives their total width. (The width of 5 townhouses is 95 ft.) What operation should I use to find the constant of proportionality? What is the constant proportionality in feet per house?

Answer 1

To find the constant of proportionality, set up a proportion using the given information. In this case, the width of the row of townhouses is in a proportional relationship with the number of townhouses. The constant of proportionality is found to be 19 ft per house.

Step-by-step explanation:

To find the constant of proportionality in a proportional relationship, we can use the given information. In this case, the width of the row of townhouses is in a proportional relationship with the number of townhouses. The total width of 5 townhouses is given as 95 ft. We can set up a proportion to find the constant of proportionality. Let w represent the width per house:

5 townhouses / 95 ft = 1 house / w ft

Cross multiplying, we get:

(5 townhouses)(w ft) = (1 house)(95 ft)

Simplifying, we find that the constant of proportionality, w, is 19 ft per house.