plz help i need by today august 26

Question

Rei stacks boxes of books on a table. Each box weighs \[30\] kilograms, and the table with \[8\] boxes on top weighs a total of \[310\] kilograms.

The total weight \[W\] of the table and boxes in kilograms is a function of \[x\], the number of boxes Rei stacks on the table.

Write the function's formula.

\[W=\] 

Answer 1

To build the function from the word problem we need to identify what information represents what part of the function.

W as a function of x is written as W(x) and this function is going to be linear in the form W(x)=mx+b. X represents the number of boxes on the table.

Next, m represents our constant of proportionality or slope which is 30 taken from the amount each box weighs.

Finally b represents the weight of the table without any boxes on it, this is gotten from doing 310 - 30*8 = 70.

so, W(x) = 30x+70.