[tex]\Large{\red{\underline{\underline{\mathrm{ SOLUTION :- }}}}}[/tex]
Here it is given that , a postal service charges a flat rate of 11.10 and a additional rate of 3 / kg .We need to write the equation in slope intercept form . And let ,
[tex]\sf\qquad\longrightarrow Total \ cost \ = \ y\\[/tex]
[tex]\sf\qquad\longrightarrow Total\ weight\ = \ x [/tex]
So the total cost would be the sum of flat rate plus the cost of the total weight . Therefore,
[tex]\sf\qquad\longrightarrow Cost_{weight}= \$3 \times x =\pink{\$3x}[/tex]
Therefore the total cost would be,
[tex]\sf\qquad\longrightarrow Cost_{total}= Cost_{flat}+Cost_{weight}\\[/tex]
[tex]\sf\qquad\longrightarrow y = \$11 + \$ 3x [/tex]
Rearrange in slope intercept form , which is y = mx + c , as ;
[tex]\sf\qquad\longrightarrow \boxed{\pink{\sf y = \$3x + \$11}}[/tex]
