Question

16. The scatter plot below shows the relationship between the number of pets that people have andthe average amount hey spend at the pet store each month. Based on the equation of the trend line,how much would you exceet someone who has 9 pets to spendat the pat stere each month?Monthly Pet Store Costs ($)A. $200B. $225C. $260D. $300

Answer 1

To answer the question we need to find the equation of the trend line. First we notice that the trend line passes through the points (0,0) and the point (8,200) then we need to remember that the equation of a line between two points is given by:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)_{}`

Plugging the values of the points we have that:

`\begin{gathered} y-0=(200-0)/(8-0)(x-0) \\ y=25x \end{gathered}`

Therefore the equation fo the trend line is:

`y=25x`

Finally, to determine how much we expect a person with 9 pets to spend we plug x=9 in the equation, then:

`y=25(9)=225`

Therefore they will spend $225 and the answer is B.