Answer :
SOLUTION
The correct OPTION is B.
Looking at the graph, its a straight line graph with a general equation of
[tex]\begin{gathered} y=mx+c \\ \end{gathered}[/tex]where y represent monthly pet store cost ($) and x represents number of pets,
and m is the gradient and c is the y-intercept.
From the plot, the y-interept is 0
To find the gradient we will consider two points:
At x=4, y=100 and x=0,y=0
[tex]\begin{gathered} x_2=4,y_2=100\ldots..x_1=0,y_1\text{=0} \\ Gradient=\frac{y_2-y_{1_{}}}{x_2-x_1} \end{gathered}[/tex][tex]\begin{gathered} \text{Gradient(m)}=\frac{100-0}{4-0} \\ m=\frac{100}{4} \\ m=25 \end{gathered}[/tex]
Now, the equation of the the line in the scatter plot is:
[tex]\begin{gathered} y=25x+0 \\ y=25x \end{gathered}[/tex]So to know the amount to be paid each month ($) (y) for someone with 9 pets (x) wil be calculated thus:
[tex]\begin{gathered} y=25x \\ y=25(9) \\ y=225 \end{gathered}[/tex]So the amount you would expect someone with 9 pets to spend at the pet store each month is $225.
Therefore, the correct OPTION is B.
