Practice Constant of Proportionality in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The constant ratio k between two proportional quantities: if y = kx, then k is the constant of proportionality.
If y is always 3 times x, the constant of proportionality is 3.
Example 1
easyA car travels 60 miles per hour. Write the equation relating distance \(d\) and time \(t\). What is the constant of proportionality?
Example 2
mediumThe table shows \(x\) and \(y\): (2, 10), (4, 20), (6, 30). Is this proportional? Find \(k\).
Example 3
easyApples cost \$0.75 each. Write the equation for cost \(C\) given quantity \(q\). Find the cost of 8 apples.
Example 4
mediumIf \(y = kx\) and \(y = 35\) when \(x = 7\), find \(k\) and predict \(y\) when \(x = 12\).