## Wednesday, May 26, 2010

## Monday, May 17, 2010

### Ryan Carter & Caitlin Coles

**Facebook World Domination**

*Exponential Regression*

equation: y = ab^x

y = 1.2*1.1^x

a: initial amount of people on facebook

b: a ten percent increase in the amount of people on facebook per month

x: amount of months

Number of Users This Month: 588.4 million

y=(1.2)(1.1)^65

Number of Users 6 Months From Now: 1.04247 billion

y=(1.2)(1.1)^71

When the Whole World Will Be on Facebook:

According to www.google.com/publicdata the world population is 6,692,030,277. When plugged into the equation...

6,692,030,277 = (1.2)(1.1^x)

We divided both sides by 1.2 to get...

557669189 = 1.1^x

Then we took the log of both sides and divided the log of 557,669,188 by the log of 1.1...

log(557,669,189)/log(1.1) = 211

It will take 211 months from the start of Facebook for the whole word to be members.

**Will the Ball Hit the Can**

*Quadratic Regression*

equation: y = ax^2+bx+c

a = represents the slope of the arc

b =

c = maximum height of the tennis ball

*equation 1:*y = -.001x^2-.1x+26.1

(no picture because of technical difficulties)

No, it will not land in the can placed at 60 meters, but before it. The ball will land at 50.26 meters because that is when the parabola crosses the Y-axis.

*equation 2:*y = -.007x^2+.06x+36.96

No, it will not land in the can which is placed at 60 meters. It will land at 84.58 meters according to where the parabola crosses the Y-axis (or hits the ground).

*equation 3*: y = -.01x^2+.22x+77.70

No, this one will not land in the can placed at 60 meters. It will hit the ground at 76.17 meters because that is where the parabola crosses the Y-axis.

Although, according to none of our data the ball will land in the can due to mathmatical errors, we believe equation 1 will probably land in the can if calculated correctly due to it being the closest to 60 meters.

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