The population data for a certain country are as follows: year 2012 2013 2014 2015 2016 2017 population (millions) 10 10.9 11.7 12.6 13.8 14.9 obtain a function that describes these data. plot the function and the data on the same plot. estimate when the population will be double its 2004 size.

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.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation:

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.