Mathematics: 5. the width of a row of identical townhouses,y, and the number of townhouses, x, havea proportional relationship. the width of5 townhouses is 105 ft.a. what is the constant of proportionality? b. write an equation that relates the widthof a row of townhouses and the numberof townhouses.

5. the width of a row of identical townhouses,y,

Ответ:

angelequej1167

05.01.2022

a. The value of the constant k is 21

b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

Step-by-step explanation:

A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.

The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:

105=k*5

$k=\frac{105}{5}$

k=21

So the value of the constant k is 21.

As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.

This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".