When two different variables are indirectly or directly proportional to each other, their relationship can be expressed using an equation i.e y = kx or y = k/x. Here, x determines or identifies how the two variables ( x and y) are related to each other. This is known as the ‘constant of proportionality’. The value of the constant of proportionality totally depends upon the qualities of the two quantities.
Let us look at the given example mentioned below to understand more about the constant of proportionality.
Q. Q. It is given that a variable y varies proportionally with x. Find the constant of proportionality if y = 25 and x = 5.
Solution:
Step 1: Note down the quantities of the two variables,
So,
Y = 25
X = 5
Step 2: Find the constant of proportionality using the formula.
So,
Y = kx.
25 = k * 5
K = 25 / 5 = 5
Hence, the constant of proportionality is 5.
You can download and print these super fun find constant of proportionality (equations) worksheets here for your students.
You can also check out our Combining like terms Worksheet, Constant of Proportionality Worksheets & Solve Proportions Worksheets which will help students understand complex concepts and score well on their exams.
