Question

Eighth grade Algebra one

Answer 1

$\Large{\red{\underline{\underline{\mathrm{ SOLUTION :- }}}}}$

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 ,

$\sf\qquad\longrightarrow Total \ cost \ = \ y$

$\sf\qquad\longrightarrow Total\ weight\ = \ x$

So the total cost would be the sum of flat rate plus the cost of the total weight . Therefore,

$\sf\qquad\longrightarrow Cost_{weight}= \ 3 \times x =\pink{\ 3x}$

Therefore the total cost would be,

$\sf\qquad\longrightarrow Cost_{total}= Cost_{flat}+Cost_{weight}$

$\sf\qquad\longrightarrow y = \ 11 + \ 3x$

Rearrange in slope intercept form , which is y = mx + c , as ;

$\sf\qquad\longrightarrow \boxed{\pink{\sf y = \ 3x + \ 11}}$