Finding Rates of Change

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

A scuba diver is 30 feet below the surface 10 seconds after she entered the water, and 100 feet below the surface after 40 seconds. What is this scuba diver's rate of descent? Round to the nearest hundredth.

• 2.33 ft/sec

• 0.45 ft/sec

• 2.50 ft/sec

• 3.14 ft/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

Which of the following is the correct equation to find rate of change?

• m=(y₂-y₁)/(x₂-x₁)

• m=(x₂-x₁)/(y₂-y₁)

• m=(y₂-x₂)/(y₁-x₁)

• m=(y₂+y₁)/(x₂+x₁)

What is the rate of change for Function B?

• 1/2

• 2

• -1/2

• -2

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

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

What is the rate of change for Function C?

• 2/3

• 3/2

• 3

• 2

What is the rate of change?

Who has the greater rate of change?

• They have the same rate of change.