Intro To Population Predictor• To begin to predict a population you must ﬁrst get your numbers of previous years. In this project I used the years 1850, 1900, 1950, 1960, 1980, 1990, 2000 and 2010. We used all of these numbers to predict the year 2060
GraphYears and population Pick two points that best represent your population growth
Work Point One:• First you pick two (110, 45,684,000) points that best Point Two: represent your (130, 53, 880,000) growth.• The you plug the two points into the After plugging it in I got Slope equation. the answer 409, 800
Work• You then take your ﬁrst point and plug When plugging it into Point Slope Formula the it into Point Slope answer I got was 606,000 Form.• Your Slope answer is M and your Point When plugging into Slope answer is Y=Mx + B I got your B.. Plug into Y=409,800x+606,000 Y=Mx+B
Finishing up your work• Solve your 409,800(210)+606,000- equation by 860,580,000+606,000= placing you 861,186,000 number of years in the place of X Y=861,186,000 Population Prediction of france in 2060 is 861,186,000
Intro• Another way to predict your future population is to plug it into a quadratic equation.
Work• Choose three points Points: from your chart on (X1,Y1)=(0,36) slide three. Round (X2,Y2)=(50,41) the to the nearest (X3,Y3)=(100,42) millionth.• First plug in your ﬁrst point into the 36=ao2+bo+c equation c=36 Y1+ax12+bx1+c
Work• Then plug in C to 41=a(50)+b(50)+36 the equation and solve for A plug in your next A=-0.008 set of points.• Now that you have 42=a(100)2+b(100)+c a and c use B=-0.0292 elmination to ﬁnd your b
More Work• After you have found all of your points plug your numbers into Y=Ax 2+Bx+C. The answer is what you get after you plug in everything and you plug in one of your three points into X and Y.
Intro• This next equation that we will solve for will give us a log graph. You will need two points.
Work• The equation that you will need for this is Y=abx• Then plug X and 41=ab50 and 42=ab100 Y into the equation. You should have two equations so you can plug in both points.
Work• After you have 41b50/=ab50/b50 your problem 41/b100=ab 100 /b100 divide b and your exponent on both 41/b50=a and 42/b100=a sides of each equation• Then place A in the place of A 41/b50=42/b100
• Then Cross Answer= Multiply 41b100 =42b 50• Then divide by b50 41b50=42• Divide 41 on each 41b50/41=42/41 side b50=1.0243• Get rid of the exponent 50 b=1.0004803
Work• Now plug in b into the equation and solve 41=a(1.0004803)50 41/1.0242998=• And then after a(1.0242998)/ plug in your 1.0242888 points to check a=40.02734 your math. You got it right if it is close to 41