Constant of Proportionality Math Example 2
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Example 2
mediumThe table shows \(x\) and \(y\): (2, 10), (4, 20), (6, 30). Is this proportional? Find \(k\).
Solution
- 1 Check \(y/x\) for each pair: \(10/2=5\), \(20/4=5\), \(30/6=5\).
- 2 The ratio \(y/x\) is constant (= 5), confirming proportionality.
- 3 The constant of proportionality: \(k = 5\).
- 4 Equation: \(y = 5x\).
Answer
Yes, proportional; \(k = 5\), \(y = 5x\)
A proportional relationship has constant \(y/x = k\). Here every pair gives \(k=5\), so \(y=5x\).
About Constant of Proportionality
The constant ratio between two proportional quantities: if , then is the constant of proportionality.
Learn more about Constant of Proportionality →More Constant of Proportionality Examples
Example 1 easy
A car travels 60 miles per hour. Write the equation relating distance (d) and time (t). What is the
Example 3 easyApples cost $0.75 each. Write the equation for cost (C) given quantity (q). Find the cost of 8 apple
Example 4 mediumIf (y = kx) and (y = 35) when (x = 7), find (k) and predict (y) when (x = 12).