Question

The width of a row of identical townhouses, y, and the number of townhouses, x, have a proportional relationship. The width of 5 townhouses is 105 ft. unt a. What is the constant of proportionality? ny= 4035 b. Write an equation that relates the width of a row of townhouses and the number of townhouses. c. What would be the width of 9 townhouses in feet?

Answer 1

a. To find the constant of proportionality, we divide the width of 5 townhouses (105 ft) by the number of townhouses (5):

105 ft ÷ 5 = 21 ft.

So, the constant of proportionality is 21.

b. The equation that relates the width of a row of townhouses (y) and the number of townhouses (x) is:

y = 21x.

c. To find the width of 9 townhouses, we substitute x = 9 into the equation:

y = 21(9) = 189 ft.

Therefore, the width of 9 townhouses would be 189 feet.