Katie Calculus Ghost Related Rates

As Katie Calculus begins to make her rounds of trick or treat on Halloween night, she decides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising?

Part 1:

What are you trying to find in this problem?

• We are looking for the speed Katie is walking.

• We are looking for the distance between Katie and the ghost.

• We are looking for the rate the ghost is rising.

• We are looking for the distance the ghost is above the tombstone.

Tags

CCSS.HSA.REI.C.7

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

As Katie Calculus begins to make her rounds of trick or treat on Halloween night, she decides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising?

Part 2:

If the distance Katie is from the tombstone is x, the ghost is a distance y above the ground at the tombstone and the distance between Katie and the ghost is c. Write an equation relating the three distances.

• There is no equation to relate the three variables.

Tags

CCSS.HSA.CED.A.1

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

As Katie Calculus begins to make her rounds of trick or treat on Halloween night, she decides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising?

Part 4:

Which values are given in the original problem? Check EACH correct answer.

• x

• y

Tags

CCSS.HSA.REI.D.11

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

As Katie Calculus begins to make her rounds of trick or treat on Halloween night, she decides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising?

Part 5:

What is the value of c?

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

As Katie Calculus begins to make her rounds of trick or treat on Halloween night, she decides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising?

Part 6:

Which statement is false?

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

AS Katie Calculus begins to make her rounds of trick or treat on Halloween night, she dicides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising (do not include units this time)?

Part 7:

How fast is the ghost rising?

Tags

CCSS.HSA.REI.D.11

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

AS Katie Calculus begins to make her rounds of trick or treat on Halloween night, she dicides to take a short cut through the cemetery. She is walking at a rate of

3 ft/sec. When she is 30 feet from a tombstone, she notices a ghost 40 feet above the ground rising slowly (don't worry, it is a friendly ghost, I believe the name of the ghost is Casper). If the distance between Katie and Casper is increasing at a rate of 7 ft/sec, how fast is the ghost rising?

Part 8:

What are the units?

• feet per minute

• miles per hour

• feet per second

• miles per second

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1