Rate of Change (Algebraic) Math Example 1

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Example 1

easy
A car travels 150 miles in 3 hours. What is its average rate of change (speed)?

Solution

  1. 1
    Rate of change = ฮ”yฮ”x=distancetime\frac{\Delta y}{\Delta x} = \frac{\text{distance}}{\text{time}}.
  2. 2
    Rate = 1503=50\frac{150}{3} = 50 miles per hour.
  3. 3
    The car's average speed is 50 mph.

Answer

50ย mph50 \text{ mph}
The average rate of change measures how quickly one quantity changes relative to another. For distance vs. time, rate of change is speed.

About Rate of Change (Algebraic)

The ratio of how much one quantity changes to how much another quantity changes โ€” measured over an interval.

Learn more about Rate of Change (Algebraic) โ†’

More Rate of Change (Algebraic) Examples

Example 2 medium

Find the average rate of change of [formula] from [formula] to [formula].

Example 3 easy

A plant grows from 5 cm to 17 cm in 4 weeks. What is the average growth rate?

Example 4 hard

Find the average rate of change of [formula] from [formula] to [formula].

โ† All Rate of Change (Algebraic) Examples Rate of Change (Algebraic) Concept

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