Write a linear equation that represents the cost of buying T-shirts from Paula’s Printing. Identify the meaning of each variable in your equation.

Answer:[tex]y=21.50x[/tex]Step-by-step explanation:Letx ----> the number of t-shirtsy ----> the cost of buying T-shirts from Paula’s Printing in dollarstake two points from the given datawe have(2,43) and (4,86)step 1Find the slopeThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] substitute the values in the formula[tex]m=\frac{86-43}{4-2}[/tex] [tex]m=\frac{43}{2}=\$21.50\ per\ t-shirt[/tex] step 2Find the equation of the line in point slope form[tex]y-y1=m(x-x1)[/tex]we have[tex]m=21.50[/tex] [tex](x1,y1)=(2,43)[/tex]substitute[tex]y-43=21.50(x-2)[/tex]step 3Convert to slope intercept form[tex]y=mx+b[/tex]Isolate the variable y[tex]y-43=21.50x-43[/tex][tex]y=21.50x-43+43[/tex][tex]y=21.50x[/tex]This linear equation represent a proportional relationship (the line passes through the origin)