The relationship between the number of years (x) that have passed and the population (y) for a small town is shown in the table. Population Count Per Year
2 3 4
Number of Years (x)
5
6
7
8
Population ()
1,440 1,7282,0742,488 2,986 3,583 4,300 5,160
A regression equation for this data is y = 1, 200(1.2)*.
Based on this data, which value is the best prediction for the town's population after 12 years?
O A. 6,020
B. 8,600
C. 8,916
D. 10,699

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

da freeck kinda math is this just drop out

step-by-step explanation:

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105