Finding the rate of change from a word problem - How do you solve word problems

The video tutorial explains how to find the average rate of change using a word problem about a climber's hike. It covers identifying independent and dependent variables, and calculating the rate of change by determining the change in altitude over time. The tutorial provides a clear example and step-by-step calculation, emphasizing the importance of understanding variable relationships.

What does the rate of change represent in a mathematical context?

• The sum of independent and dependent values

• The product of independent and dependent values

• The change in independent values over dependent values

• The change in dependent values over independent values

In the context of the climber's hike, which variable is independent?

• Altitude

• Time

• Distance

• Speed

Why is time considered an independent variable in the climber's hike problem?

• Because it depends on altitude

• Because it is continuous and not dependent on other factors

• Because it is measured in hours

• Because it is a fixed value

How much did the climber's altitude change from two hours to six hours?

• 200 feet

• 500 feet

• 300 feet

• 400 feet

What is the average rate of change in altitude per hour for the climber?

• 75 feet per hour

• 100 feet per hour

• 50 feet per hour

• 60 feet per hour