Question

Is the relationship shown by the data linear if so Model the data with an equationOption d: is no it’s not linear

Answer 1

From the question we have the given table

The graph can be as shown below

Therefore, the relationship shown by the data is linear

From the graph, the function is can be expressed in the form

`y=mx+c`

where m = - 1.25, c = - 13.25

Therefore, the relationship is

`y=-1.25x-13.25`

Simplifying further we have

`\begin{gathered} y=(-125)/(100)x-(1325)/(100) \\ y=-(5)/(4)x-(53)/(4) \\ y=-(5)/(4)x-(45)/(4)-(8)/(4) \\ y=-(5)/(4)x-(45)/(4)-2 \\ y+2=-(5)/(4)x-(5)/(4)(9) \\ y+2=-(5)/(4)(x+9) \end{gathered}`

Therefore, the relationship is linear with equation

`y+2=-(5)/(4)(x+9)`