Question

The function table below is intended to represent the relationship y --2x+3. However, one of the entries for y does not correctly fit the relationship with x.

Answer 1

`y=-2x+3`

In the first column you have the value of x, then to find the mistake you substitute in the equation the given value of x and evaluate to findthe corresponding value of y:

When x is 1:

`\begin{gathered} y=-2(1)+3 \\ y=-2+3 \\ y=1 \end{gathered}`

When x is 2:

`\begin{gathered} y=-2(2)+3 \\ y=-4+3 \\ y=-1 \end{gathered}`

When x is 3:

`\begin{gathered} y=-2(3)+3 \\ y=-6+3 \\ y=-3 \end{gathered}`

When x is 4:

`\begin{gathered} y=-2(4)+3 \\ y=-8+3 \\ y=-5 \end{gathered}`As you can see the incorrect value of y is when x=1, because when x is 1 y is 1 not 2 as in the given table