In 2000, the percentage of 18-29 year olds who used the internet was 71%. in 200

ID: 2894748 • Letter: I

Question

In 2000, the percentage of 18-29 year olds who used the internet was 71%. in 2007, that percentage had risen to 93%. Complete parts (a) through (c).

a) Use the year as the x-coordinate. Find the equation of the line that contains the data points.

Y= ___

b) Use the equation in part (a) to estimate the percentage of internet users in 2012.

The percentage of internet users in 2012 is approximately ___.

(Simplify your answer. Use the answer from part (a) to find this answer. Round to the nearest tenth as needed.

c) Use the equation in part (a) to estimate the year in which the percentage of users will reach 100%

The year in which the percentage of users will reach 100% is approximately ___.

(Simplify your answer. Use the answer from part (a) to find this answer. Round to the nearest tenth as needed)

Please show all of your work with the correct answers.

Solution:

In 2000, the percentage of 18-29 year olds who used the internet was 71%. in 2007, that percentage had risen to 93%.

therefore

It is line passing through point ( 2000 , 71 ) and (2007 , 93)

(a)

the year as the x-coordinate

the equation of the line that contains the data points.

(y-93)/(x-2007) = (93-71)/7

22x-2007*22 = 7y-93*7

y= (22/7) x - 43503/7

(b)

Plug x = 2012 in (a)

to estimate the percentage of internet users in 2012.

y =( 22/7) (2012) - 43503/7

y= 108.75 %

(c)

plug y =100

to estimate the year in which the percentage of users will reach 100%

100 = ( 22/7) (x) - 43503/7

(22/7) x= + 43503/7 +100

x = 2009 year

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