Explanation

Rational functions model situations involving:

• Rates

• Ratios

• Inverse relationships

Example:
Time = distance / speed

If speed increases, time decreases → rational relationship.

Real-world uses:

• Physics

• Economics

• Engineering

• Population density

Quiz

1. What type of relationship do rational functions often model?

2. Give an example involving rates.

3. Do rational models involve division?

4. Are inverse relationships common?

5. Are rational models realistic for extremes?

Answer Key

1. Ratios

2. Time = distance/speed

3. Yes

4. Yes

5. Not always