Two suppliers record the total mass of packages containing identical bars. Number of bars, $n$\(2\

Question

Two suppliers record the total mass of packages containing identical bars.

Number of bars, $n$	$2$	$5$	$8$
Supplier $A$: mass $M$ g	$70$	$175$	$280$
Supplier $B$: mass $M$ g	$90$	$195$	$300$

Which table is consistent with $M\propto n$? Show a numerical test for both.
Write an equation for Supplier $A$.
Supplier $B$ uses the same mass of bar as Supplier $A$. Explain its results and write a possible equation.

Accepted Answer

(a) $A$ only; (b) $M=35n$; (c) fixed $20$ g packaging, $M=35n+20$.

Number of bars, \(n\)	\(2\)	\(5\)	\(8\)
Supplier \(A\): mass \(M\) g	\(70\)	\(175\)	\(280\)
Supplier \(B\): mass \(M\) g	\(90\)	\(195\)	\(300\)

Direct and Inverse Proportion