Linear, Quadratic, Exponential Situations

CC1B

Training Heart Rate• What is a training heart

rate?• What is the relationship

between:AGE and Training Heart Rate

(beats per min)?• Do you predict a linear,

quadratic, or exponential relationship?

Training Heart Rate

Training Heart Rate

Volleyball Height

•What is the relationship between:TIME (sec) and HEIGHT (ft)

•Do you predict a linear, quadratic, or exponential relationship?

Volleyball Height

Volleyball Height

Basketball Tournament

•What is the relationship between:ROUND and # of TEAMS LEFT?

•Do you predict a linear, quadratic, or exponential relationship?

Basketball Tournament

Basketball Tournament

Bacteria Growth

• Video: http://www.youtube.com/watch?v=gEwzDydciWc

•What is the relationship between:TIME (hrs) and # of BACTERIA?

•Do you predict a linear, quadratic, or exponential relationship?

Bacteria Growth

Time(hours) Bacteria

0 24

1 96

2 384

3 1536

4 6144

Bacteria GrowthTime(hours)

Bacteria

0 241 962 3843 15364 6144

Height of a Golf Ball

•What is the relationship between:TIME (sec) and HEIGHT (ft)?

•Do you predict a linear, quadratic, or exponential relationship?

Height of a Golf Ball

Time (s)

Height (ft)

0 41 682 1003 1004 68

Forwarding Emails

•What is the relationship between:TIME (days) and # of PEOPLE?

•Do you predict a linear, quadratic, or exponential relationship?

Forwarding EmailsTime (Days)

Number of People Who Received the E-mail

0 81 562 3923 2744

Dental Cavities

•What is the relationship between:Amount of Flouride in Water (ppm) and # of Cavities (per 100 children)?

•Do you predict a linear, quadratic, or exponential relationship?

Dental Cavities

Weightlifting

•What is the relationship between:BODY MASS (kg) and WEIGHT LIFTED (kg)?

•Do you predict a linear, quadratic, or exponential relationship?

Weightlifting

Aging Athletes

•What is the relationship between:AGE (years) and Athletic Performance (specific event)?

•Do you predict a linear, quadratic, or exponential relationship?

Aging Athletes

Snow Tubing

•What is the relationship between:RADIUS (cm) and VOLUME (cm3)?

•Do you predict a linear, quadratic, or exponential relationship?

Snow Tubing

CUPS/BOWLS/ETC

•What type of relationship exists between Radius and Volume?

CUPS/BOWLS/ETC

•What type of relationship exists between Height and Volume?

CUPS/BOWLS/ETC

• Radius and Volume – Linear, Quad, or Exp?• Height and Volume – Linear, Quad, or Exp?

• The formula for the volume of a cylinder is V=∏r2h

• What is the relationship between your answers above and the volume formula?