Identifying Variables in Related Rates

Use the following scenario to answer the question:

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min. How fast is the area of the pool increasing when the radius is 5 cm?

Question: What formula should we use?

Use the following scenario to answer the question:

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min. How fast is the area of the pool increasing when the radius is 5 cm?

Question: What does 4 represent?

• dr/dt

• dA/dt

• r

• A

Use the following scenario to answer the question:

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min. How fast is the area of the pool increasing when the radius is 5 cm?

Question: What does 5 represent?

• dr/dt

• dA/dt

• r

• A

Use the following scenario to answer the question:

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min. How fast is the area of the pool increasing when the radius is 5 cm?

Question: What is the scenario asking you to find?

• dr/dt

• dA/dt

• r

• A

Use the following scenario to answer the question:

A conical paper cup is being filled with water such that the water level rises at a rate of 2 cm/sec. The radius increases at a rate of 0.5 cm/sec as the water level rises. At what rate is the water being poured into the cup when the water level is 8cm and the radius is 4cm?

Question: What formula should we use?

Use the following scenario to answer the question:

A conical paper cup is being filled with water such that the water level rises at a rate of 2 cm/sec. The radius increases at a rate of 0.5 cm/sec as the water level rises. At what rate is the water being poured into the cup when the water level is 8cm and the radius is 4cm?

Question: What does the 2 represent?

• dV/dt

• h

• dr/dt

• dh/dt

Use the following scenario to answer the question:

A conical paper cup is being filled with water such that the water level rises at a rate of 2 cm/sec. The radius increases at a rate of 0.5 cm/sec as the water level rises. At what rate is the water being poured into the cup when the water level is 8cm and the radius is 4cm?

Question: What does the 8 represent?

• dr/dt

• r

• h

• dh/dt

• V

Use the following scenario to answer the question:

A conical paper cup is being filled with water such that the water level rises at a rate of 2 cm/sec. The radius increases at a rate of 0.5 cm/sec as the water level rises. At what rate is the water being poured into the cup when the water level is 8cm and the radius is 4cm?

Question: What does the 4 represent?

• dr/dt

• r

• h

• dh/dt

• V

Use the following scenario to answer the question:

A conical paper cup is being filled with water such that the water level rises at a rate of 2 cm/sec. The radius increases at a rate of 0.5 cm/sec as the water level rises. At what rate is the water being poured into the cup when the water level is 8cm and the radius is 4cm?

Question: What is the scenario asking you to find?

• dr/dt

• dV/dt

• dh/dt

• V

Use the following scenario to answer the question:

An observer stands 700 ft (a) away from a launch pad to observe a rocket launch. The rocket blasts off and maintains a velocity of 900 ft/sec. How fast is the observer to rocket distance changing when the rocket is 2400 ft (b) from the ground?

Question: What formula should be used?