Question

NEED PARTS E, F, G,and H

The number of abortions worldwide decreased from 46 million in 1996 to 42 million in 2003. By how much did the number of abortions decrease from 1996 to 2003? By how much did the number of abortions decrease per yew? By what percentage did the number of abortions decrease from 1996 to 2003? By what percentage did the number of abortions decrease per year? Find a linear model for the number of abortions worldwide. Find an exponential model for the number of abortions worldwide. Use your linear model to predict the number of abortions worldwide in 2014. Use your exponential model to predict the number of abortions worldwide in 2014.

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Answer 1

Given,

Abortions decreased from 46 million in 1996 to 42 million in 2003

a.)

From 1996 to 2003 abortion is decreased by 4 miliions

b.)

   Number of abortions decreased at the rate of

   

$= \frac{abortion decreased}{years}$

$= \frac{4}{7}=0.57$

c.)

   Percentage decreased

   $= \frac{4}{46}*100=8.69$

d.)

  Percentage decreased per year

$= \frac{0.57}{4}*100=14.25$

e.)

Generalised linear model is

   Abortions in 1996 = 46 millions

   Abortions in 2003 = 42 millions

Linear model is given as,

   $Y=mX+C$

   'Y' axis is number of abortions in a particular year in millions

   'X' is the year

  

   Y= 46 million , X= 1996

   Y= 42 million , X = 2003

Therefore, linearlised model that fit above data is

$Y=\frac{-X}{4}+1186.57$......................................................(1)

f.)

Now exponential model is given by,

   $Y=Ce^{-mX}$

  

X' axis is number of abortions in a particular year in millions

'Y' is the year

X= 46 million , Y= 1996

X= 42 million , Y = 2003

Therefore, exponential model that fit above data is

$Y=2077.9987*e^{-8.7522*10^{-4}X}$.....................................................................(2)

g.)

  Just put 'X' = 2014 in equation 1,you will number of abortions in 2014 in millions

h.)

Just put 'Y' = 2014 in equation 2,you will get number of abortions in 2014 as per exponential model