Finding the constant of proportionality for inverse proportion

12 questions

1. Match the statement with the correct notation.
2. Match the coordinates with the directly proportional equations.
3. y is proportional to x. When y = 48, x = 12. What is the equation to show the direct proportion between x and y?
4. y is proportional to x. When y = 20, x = 80. What is the equation to show the direct proportion between x and y?
5. y is proportional to x^2.When y = 200, x = 10.What is the equation to show the direct proportion between x and y?
6. y is proportional to \sqrt{x}.When y = 2, x = 36.What is the equation to show the direct proportion between x and y?
7. Match the constant of proportionality for each of the following inverse proportions.
8. Match the correct proportionality statement with an example equation.
9. y is \propto \frac{1}{x}. When y = 4, x = 2. What is the equation to show the inversely proportional relationship between x and y?
10. y is \propto \frac{1}{x}. When y=\frac{1}{5}, x=2. Work out y when x=10. Give your answer as a decimal.
11. y is \propto \frac{1}{x^2}. When y=\frac{1}{6}, x=2. Work out y when x=\sqrt{8}.
12. y is \propto \frac{1}{\sqrt{x}}. When y=2.4, x=100. Work out y when x=64.

License: OGL