Question

Think about the process the width of a row of identical townhouses is in a proportional relationship with the number of townhouses. the diagram suggests a row of 5 townhouses and gives their total width. which operation should you use to find the constant of​ proportionality? find the constant of proportionality. then use the constant of proportionality to find the width of a row of 9 townhouses.

Answer 1

To find the constant of proportionality for the width of townhouses, divide the total width by the number of townhouses. Use this constant to multiply by the desired number of townhouses to find the total width of that row. As an example, if 5 townhouses have a total width of 50 feet, the width of 9 townhouses would be 90 feet.

Step-by-step explanation:

To determine the constant of proportionality when given the width of a row of identical townhouses and the number of townhouses, we need to perform division. The constant of proportionality is found by dividing the total width by the number of townhouses. In this case, if the diagram suggests a row of 5 townhouses with a given total width, we would divide that total width by 5 to find the constant of proportionality.

Once we have found the constant of proportionality, we can then use it to find the width of a row of 9 townhouses by multiplying the constant of proportionality by 9. The product will give us the total width of the row of 9 townhouses.

For example, if the total width of 5 townhouses is 50 feet, the constant of proportionality would be 50 feet divided by 5 townhouses, which is 10 feet per townhouse. Therefore, the width of a row of 9 townhouses would be 10 feet per townhouse multiplied by 9 townhouses, equaling 90 feet.