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.write a linear equation that represents the cost of buying t-shirts from shantay's shirts. identify the meaning of each variable in your equation.​

Answer:Part 1) [tex]y=x+21.5[/tex]Part 2) [tex]y=x+18[/tex]Step-by-step explanation:Part 1) Write a linear equation that represents the cost of buying t-shirts from Paula's printing.Letx ----> the number of t-shirtsy ----> the cost in dollarsstep 1Find the slopeThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] take two points from the table(2,23.5) and (4,25.5)substitute in the formula[tex]m=\frac{25.5-23.5}{4-2}[/tex] [tex]m=\frac{2}{2}=1[/tex] step 2Find the equation of the line in point slope form[tex]y-y1=m(x-x1)[/tex]we have[tex]m=1[/tex] [tex](x1,y1)=(2,23.5)[/tex]substitute[tex]y-23.5=(1)(x-2)[/tex]Convert to slope intercept form[tex]y=mx+b[/tex][tex]y=x-2+23.5[/tex][tex]y=x+21.5[/tex]Part 2) Write a linear equation that represents the cost of buying t-shirts from Shantay's shirts.Letx ----> the number of t-shirtsy ----> the cost in dollarsstep 1Find the slopeThe formula to calculate the slope between two points is equal to [tex]m=\frac{y2-y1}{x2-x1}[/tex] take two points from the table(2,20) and (4,22)substitute in the formula[tex]m=\frac{22-20}{4-2}[/tex] [tex]m=\frac{2}{2}=1[/tex] step 2Find the equation of the line in point slope form[tex]y-y1=m(x-x1)[/tex]we have[tex]m=1[/tex] [tex](x1,y1)=(2,20)[/tex]substitute[tex]y-20=(1)(x-2)[/tex]Convert to slope intercept form[tex]y=mx+b[/tex][tex]y=x-2+20[/tex][tex]y=x+18[/tex]