Rate of Change from Word Problem

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change (slope)?

• 75

• -75

A scuba diver is 30 feet below the surface of the water in 10 seconds after she entered the water and 100 feet below the surface after 40 seconds. What is the scuba divers rate of change?

A rocket is 1 miles above the earth in 30 seconds and 5 miles above the earth in 150 seconds. What is the rocket's rate of change in miles per second?

• 30

  The rocket is ascending 30 miles every second

• -30

  The rocket is descending 30 miles every second

Michael started a savings account. After 4 weeks, he had $650 dollars, and after 9 weeks, he had $700. What is the rate of change of money in his savings account per week?

An industrial water storage tank is being drained to be cleaned. Before they started draining the tank, it had 5,000 gallons in it. In 5 minutes, the tank had 4000 gallons. What is the average rate of change?

• 40 gallons per minute

• -40 gallons per minute

• -200 gallons per minute

• -25 gallons per minute

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

A weather balloon rose from a height of 100 m to 400 m in 3 minutes. What was the balloon’s rate of change?

• 33.3 meters/minute

• 100 meters/minute

• 133.3 meters/minute

• 166.7 meters/minute

What does the rate of change represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

From the table, what is the rate of change we see happening? (Select all that apply)

• Increase of $75 per adult

• Increase of $375 per 5 adults

• Increase of $150 per 3 adults

• Increase of $2 per 150 adults

What is the rate of change demonstrated in this graph?

• 2 cm per hour

• ¹/₄ cm per hour

• ¹/₂ cm per hour

• 4 cm per hour