Identifying Variables in Related Rates
Authored by Maureen Stinnett
Mathematics
11th Grade
Used 8+ times
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14 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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?
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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?
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
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
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