Question

A baseball team holds a pizza night at the Ballpark. The table below shows the pieces for different numbers of pizzas.which set of ordered pairs could be added to this table?

Answer 1

Let's find the linear function which represents the table:

`\begin{gathered} y=mx+b \\ for \\ x=2,y=4 \\ 4=2m+b_{\text{ }}(1) \\ ---- \\ for \\ x=10,y=20 \\ 20=10m+b_{\text{ }}(2) \\ (2)-(1) \\ 16=8m \\ m=(16)/(8)=2 \\ ---- \\ 4=2(2)+b \\ b=4-4=0 \end{gathered}`

So:

`y(x)=2x`

For:

`\begin{gathered} x=3 \\ y(3)=2(3)=6 \\ ----- \\ x=7 \\ y\mleft(7\mright)=2\mleft(7\mright)=14 \\ ----- \\ x=9 \\ y(9)=2(9)=18 \end{gathered}`

Answer:

(3,6)

(7,14)

(2,18)