Proportions are everywhere! From calculating prices at the store (direct proportion) to estimating how much faster a trip will be if you increase your speed (inverse proportion).
In a Direct Proportion, as one value goes up, the other goes up at a constant rate. In an Inverse Proportion, as one goes up, the other goes down.
A common mistake is thinking any relationship where 'one goes up, the other goes down' is an inverse proportion. It must decrease at a specific rate (e.g., doubling x exactly halves y).
Choose a function type and slide the value of x to see how y changes.
Test your understanding of proportions!
The concept of proportions was heavily used by ancient Greeks like Eudoxus and Euclid. They didn't use algebra like we do today, but they used geometry to compare the ratios of line segments and areas!