Respuesta :
We can write the equation of the line from the table
The general equation of a line is
[tex]y=mx+b[/tex]where m is the slope and b the y-intercept, the we need to find m and b to replace on the general equation and obtain the function of the line
Slope (m)
We use the formula of the slope
[tex]m=\frac{y2-y1}{x2-x1}[/tex]where (x2,y2) is a right point from (x1,y1), I can use any pair of points of the table, on this case I will use (3,228) and (7,532)
where (3,228) is (x1,y1) and (7,532) is (x2,y2)
then replacing
[tex]\begin{gathered} m=\frac{532-228}{7-3} \\ \\ m=\frac{304}{4} \\ \\ m=76 \end{gathered}[/tex]The slope is 76
y-intercept
We repalce the slope on the general equation
[tex]y=76x+b[/tex]then we replace any point (x,y) for example (11,836)
[tex]836=76(11)+b[/tex]simplify
[tex]836=836+b[/tex]and solve for b
[tex]\begin{gathered} b=836-836 \\ b=0 \end{gathered}[/tex]Final equation
replace values of m and b on the general equation to obtaion our linear function
[tex]\begin{gathered} y=76x+0 \\ \\ \\ y=76x \end{gathered}[/tex]then right option is first, because multiply a number of something by the value of each(76)
