#### Transcript of Rate of Change with a Tootsie Roll Pop

**Rate of Change with a Tootsie Roll Pop**

Table: Time vs Radius

Finding the Radius

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Graph: Time vs Radius

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**By: Jacqueline Huang**

How do you find the rate of change of the volume of a (TRP) as you consume it?

dr/dt=-.0013 cm/sec

from the slope of the line of best fit from the time vs radius graph

Table: Time vs Volume

Table: Time vs Change in Volume

Graph: Time vs Change in Volume

Graph: Time vs Volume

dv/dt=4(pi)(r^2)(dr/dt)

Formula dv/dt:

I plugged in dr/dt=-.0013 cm/sec & the radius of TRP at each time interval

Volume of a sphere = 4/3(pi)(r^3)

Calculating Avg Value of the Rate of Change of Volume of the TRP

To calculate the average value of rate of change of the volume, I added up the the rates of change of volume and divided the sum by 11, the number of rates of the change in volume..

Mouth Sucking Power:

-0.02668729 cm^3/sec

cm^3/sec

cm^3/sec

V=(4/3)(Pi)(r^3)

dV/dt=(3)(4/3)(Pi)(r^2)(dr/dt)

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