Average Rate of Change Graphing

A climber is scaling a rock face. Two hours after starting his climb, he is at an altitude of 400 feet. After six hours, he is at an altitude of 700 feet. What is his average rate of change?

• 200 ft/hr

• 150 ft/hr

• 300 ft/hr

• 75 ft/hr

True or False: "Slope" is just another word for rate of change. We tend to use this word when graphing the relationship between two quantities.

• True

• False

A rocket is one mile above the earth 30 seconds after launch and five miles above the earth 2.5 minutes after launch. What is the rocket's rate of change in miles per second?

• 0.03 mi/sec

• 1.80 mi/sec

• 0.23 mi/sec

• 0.15 mi/sec

Michael started a savings account. 4 weeks after starting this account, he had $300 dollars in it, and after 9 weeks, he had $400. What was the rate of change of money in his savings account over this time?

• $20/week

• $140/week

• $50/week

• $7.69/week

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7