Question

I need help with this question parts 1 - 4

Answer 1

Given:

Given data points are (950,100) and (1000,40).

Required:

To find the linear model for this data.

Step-by-step explanation:

The standard form of linear equation is

`y=mx+b`

Where

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ \\ m=(40-100)/(1000-950) \\ \\ m=-(60)/(50) \\ \\ m=-(6)/(5) \end{gathered}`

Now

`y=-(6)/(5)x+b`

Now we have to find b using the points (950,1000), we get

`\begin{gathered} 1000=-(6)/(5)(950)+b \\ \\ 1000=-6*190+b \\ \\ 1000=-1140+b \\ \\ b=1000+1140 \\ \\ b=2140 \end{gathered}`
`y=-(6)/(5)x+2140`

Final Answer:

`y=-(6)/(5)x+2,140`