Answer:
Function is y = 0.974x + 2.086
On 2006, the population will be double its 2004 size.
Step-by-step explanation:
Let x represents the number of years and y represents the population after x years,
Also, suppose reference year is 2004,
Then, the table would be,
x 8 9 10 11 12 13
y 10 10.9 11.7 12.6 13.8 14.9
Since, the value of y is increasing approximately linearly with increasing the value of x,
Thus, a linear function will best describe the given points,
For finding the equation we will follow the following steps,
Step 1 : Make the table on the excel,
Step 2 : Select the table,
Step 3 : insert the scatter plot ( scatter plot with smooth lines )
Step 4 : choose the option 'add trendiness'
Step 5 : Mark the option 'display equation on the chart'.
By these steps we will get y = 0.974x + 2.086
For 2004, x = 0,
y = 0.974(0) + 2.086
y = 2.086
Hence, the population on 2004 is 2.086 millions,
If y = 4.172,
4.172 = 0.974x + 2.086
2.086 = 0.974x
⇒ x = 2.14168377823 ≈ 2,
Therefore, on 2006, the population will be double its 2004 size.
