Ratios and Rates in Everyday Life

Proportional relationships are everywhere! If two quantities always have the same ratio, they are proportional. This helps us with recipes, map reading, and even shopping.

Finding Unit Rates

The unit rate is how much of something there is per one unit of something else, like miles per hour.

• If 3 apples cost $6, the cost per apple is \( \frac{6}{3} = 2 \) dollars.

Recognizing Proportional Tables and Graphs

In tables, if you can divide one column by the other and always get the same number, it's proportional. On a graph, proportional relationships make a straight line through the origin (0,0).

Real-World Uses

• Recipes: If you double the ingredients, you double the servings.
• Speed: If you travel 60 miles in 1 hour, in 2 hours you travel 120 miles.