Question: The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.

Time (s) Height (cm)

0 −25

1.5 0

3 25

4.5 0

6 −25

7.5 0

9 25

10.5 0

12 −25

From its resting position, how long does it take the weight to bounce one direction, then the other, and then back to its resting position?

Answer: 6 seconds

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Question: The graph shows the distance y, in inches, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x.

How many seconds are required for the pendulum to move from its resting position and return?

Graph: Max value-5 Min value- -5 Mid-0

Answer: 1 second

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Question: The graph shows how many centimeters above a table top, y, a painted spot on an automated hamster wheel is for a given number of seconds x.

How many degrees is the painted spot turning in 0.75 s?

Graph: Max value-12 Min Value- 0 Mid-6

Answer: 180 degrees

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Question: The average daily minimum temperature for Pablo’s hometown can be modeled by the function f(x)=15.3sin(πx/6)+44.1 , where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily minimum temperature in June?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

Answer: 51.8 degree F

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Question: The temperature of a liquid during an experiment can be modeled by the function f(x)=3.8cos(πx/20)+2.2 , where f(x) is the temperature in °C and x is the number of minutes into the experiment.

What is the lowest temperature the liquid reached during the experiment?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

Answer: -1.6 degree Celsius

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Question: (2nd attempt) The table shows the height in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.

Time (s) Height (cm)

0 9

1.25 0

2.5 −9

3.75 0

5 9

6.25 0

7.5 −9

8.75 0

10 9

From its resting position, how long does it take the weight to bounce one direction, then the other, and then back to its resting position?

Answer: 5 seconds

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Question: (2nd attempt) The graph shows the distance y, in centimeters, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x.

How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?

Graph- Max value: 15 Min Min Value:-15

Answer: 1.25 seconds

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Question: The graph shows how many meters above a stream, y, that a bucket on a water wheel is rotating for a given number of seconds x.

How many degrees is the bucket rotating in 10 s?

Graph: Max-16 Min- 0

Answer: 180 degrees

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Question: The average daily maximum temperature for Laura’s hometown can be modeled by the function f(x)=4.5sin(πx/6)+11.8 , where f(x) is the temperature in °C and x is the month.

x = 0 corresponds to January.

What is the average daily maximum temperature in May?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

Answer: 15.7 degree C

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Question: The temperature of a substance during an experiment can be modeled by the function f(x)=−7.5cos(πx/30)+31.4 , where f(x) is the temperature °C and x is the number of minutes into the experiment.

What is the greatest temperature the substance reached during the experiment?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

Answer: 38.9 degree C

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Question: (3rd attempt) The table shows the height in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.

Time (s) Height (cm)

0 0

0.75 15

1.5 0

2.25 −15

3 0

3.75 15

4.5 0

5.25 −15

6 0

From its resting position, how long does it take the weight to bounce one direction, then the other, and then back to its resting position?

Answer: 3 seconds

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Question: (3rd attempt) The graph shows the distance y, in feet, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x.

How many seconds are required for the pendulum to move from its resting position, swing in one direction and return to its resting position?

Graph-Max value- 20 Min value- -20 period-5

Answer: 2.5 seconds

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Question: (3rd attempt) The graph shows how many inches above the ground, y, the valve on a rotating tire is for a given number of seconds x.

How many degrees is the tire turning every second?

Graph- Max:20 Min:0 Period: 2

Answer: 180 degrees

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Question: (3rd attempt) The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx/6)+54.9 , where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily maximum temperature in March?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

Answer: 61 F

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Question: (3rd attempt) The temperature of a room during an experiment can be modeled by the function f(x)=23.7cos(πx/60)+18 , where f(x) is the temperature °F and x is the number of hours into the experiment.

What is the lowest temperature the room reached during the experiment?

Round to the nearest tenth of a degree if needed.

Use 3.14 for π .

Answer: -5.7 F

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