Question

Complete the table. 90 Chips Bag 3 1 9 14 Chips 90 Bag 3 1 9 14 (Type whole numbers or decimals.)

Answer 1

Let:

$\begin{gathered} (x1,y1)=(3,90) \\ (x2,y2)=(1,y) \end{gathered}$

let:

$y1=kx1$

where:

k = constant of proportionality:

$\begin{gathered} 90=3k \\ k=\frac{90}{3} \\ k=30 \end{gathered}$

so:

$\begin{gathered} y=30x \\ x=1 \\ y=30 \\ ---- \\ x=9 \\ y=270 \\ ---- \\ x=14 \\ y=420 \end{gathered}$

Answer:

From left to right:

30, 270, 420