Answer:
[tex]\boxed{~y=0.026x-0.05~}[/tex]
Step-by-step explanation:
[tex]Greetings![/tex]
[tex]I~see~we~meet~again,~Let's~answer~your~question![/tex]
[tex]\bold{Let~ ``y"~ is~ the ~cost ~of ~recent~ yearbooks ~and~ ``x"~ is ~the ~number~ of~ pages.}[/tex]
[tex]If~ a ~line~ passes ~through ~two~ points~(x_{1},y_{1} )~and~(x_{2}, y_{2} ),~then~the~equation\\ of ~line~ is:[/tex]
[tex]y-y_{1} =\frac{{y_{2}-y_{1} } }{x_2-x_1} (x-x_1)[/tex]
[tex]\bold{Now,~choose~ any ~two ~ordered ~pairs~ from ~the~ giver~ table:}[/tex]
[tex]Consider~ the ~line ~passes ~through ~the ~points~ (50,1.25)~ and~ (100,2.55).~ So, ~\\the ~equation~ of~ line~ is:[/tex]
[tex]y-1.25=\frac{2.55-1.25}{100-50} (x-50)[/tex]
[tex]y-1.25=\frac{1.3}{50}(x-50)[/tex]
[tex]y-1.25=0.026(x-50)[/tex]
[tex]\bold{By~using~ distributive ~property, ~we ~get:}[/tex]
[tex]y-1.25=0.026(x)+0.026(-50)[/tex]
[tex]y-1.25=0.026x-1.3[/tex]
[tex]\bold{Add ~1.25~ on ~both~ sides:}[/tex]
[tex]y-1.25+1.25=0.026x-1.3+1.25[/tex]
[tex]y=0.026x-0.05[/tex]
[tex]\bold{The ~equation ~of ~line~ is~ y=0.026x-0.05. ~Therefore,~ making~the~ 3^r^d}[/tex] [tex]\bold{option~correct!.}[/tex]
[tex]Hope~this~answer~helps~you~and~have~a~blessed~day~ahead![/tex]
[tex]-Isabelle~Williams[/tex]
