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What would be the width of 9 townhouses in feet

User Dejuknow
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a. The constant of proportionality is 21.

b. An equation that relates the width of a row of townhouses and the number of townhouses is y = 21x.

c. The width of 9 townhouses is 189 feet.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

  • y represents the y-variable or width​.
  • x represents the x-variable or number of townhouses.
  • k is the constant of proportionality.

Part a.

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 105/5

Constant of proportionality, k = 21

Part b.

Therefore, the required linear equation for the relationship between y and x is given by;

y = kx

y = 21x.

Part c.

The width of 9 townhouses in feet is given by;

y = 21 × 9

y = 189 feet.

Complete Question:

5. 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.

a. What is the constant of proportionality?

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?

User Mike Young
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