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 * 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}}`