Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points
[tex](6,112,50), (8,150), (11,206.25)[/tex]
step 1
Find the slope with the first and second point
[tex](6,112,50), (8,150)[/tex]
[tex]m=(150-112.50)/(8-6)=18.75[/tex]
step 2
Find the slope with the first and third point
[tex](6,112,50), (11,206.25)[/tex]
[tex]m=(206.25-112.50)/(11-6)=18.75[/tex]
Compare the slopes
The slopes are the same
That means, that the three points lies on the same line
therefore
Yes, the relationship can be described by a constant rate of $18.75 per dog
