Question

Teach your teammate Alex how to find the missing values in the proportional relationship table. Be sure to include details about the constant of proportionality and the equation begin mathsize 18px style y space equals space k x end style.

You can start your response with: Use the constant of proportionality to_______ because . . .
The equation begin mathsize 18px style y space equals space k x end style works because . . .
Respond in 2 to 3 complete sentences.

Answer 1

To find the missing values in a proportional relationship table, use the constant of proportionality by multiplying the known x-value by the constant to find the corresponding y-value. The equation y = kx represents the relationship between y and x in a proportional manner.

Step-by-step explanation:

Use the constant of proportionality to find the missing values in the proportional relationship table. The constant of proportionality, denoted as k, represents the ratio of y to x. To find the missing values, you can multiply the known x-value by the constant of proportionality to find the corresponding y-value. For example, if the constant of proportionality is 3, and the known x-value is 4, you can find the corresponding y-value by multiplying 4 by 3, which equals 12.

The equation y = kx works because it represents the relationship between y and x in a proportional manner. The constant of proportionality k ensures that the change in y is directly proportional to the change in x. This equation can be used to find missing values or to determine if two quantities are proportional.