Please help I don’t understand

Question

The following table shows the percentage of children in the United States between the age of 3 and 5 who are enrolled in preprimary programs. Dates 2008 2010 2012 2014 Percentage 63.0 63.7 64.3 64.7 Use extrapolation to estimate the percentage of children enrolled in 2016

Answer 1

Let's do this. We should make a table where x is years and y is %. A secret tip is to turn % into decimal!

x- 2008/2010/2012/2014/2016

y- .63/ .637/ .643 / .647/ ?

Under 2016 there is a (?) because we are solving for that percentage. If we use the extrapolation formula, which is y(x)= y(1) + [(x- x(1)/x(2)-x(1)]*[Y(2)-Y(1)].

If we plug everything in like y(x) = .643 + [(2016-2012/2014-2012)]*[.647-.643], our answer in the calculator is .651. We turn .651 into a percentage, and our final answer is 65.1%.

Using extrapolation, the % if children enrolled in 2016 is 65.1%.