Question

I need help with this. Also, i’m aware you can’t see all the graphs listed so just let me know what coordinates would be appropriate and i’ll choose whichever graph has those coordinates.

Answer 1

Answer: Provided the sunglasses inventory which has the number of sunglasses and days in two columns, we have to find the graph which represents this table.

The table can be modeled by a linear equation:

`\begin{gathered} y(x)=mx+b\Rightarrow(1)\Rightarrow\text{ y glasses as function of days x} \\ \\ \end{gathered}`

Finding the slope and y intercept of this equation (1) leads to the following:

`\begin{gathered} m=(\Delta y)/(\Delta x)=((42-58))/((10-2))=(-16)/(8)=--2 \\ \\ \\ \\ y(x)=-2x+b \\ \\ 58=-2(2)+b\Rightarrow b=58+4=62 \\ \\ \\ \therefore\Rightarrow \\ \\ y(x)=-2x+62\Rightarrow(2) \end{gathered}`

The answer, therefore, is the plot of equation (2) which is as follows: