Answer:
Step-by-step explanation:
Let y be the amount of water in the bottle x seconds after the faucet was turned on.
We have been given that the gauge on the bottle indicates that it contains 19 ounces of water after it has been filling for 5 seconds. After it has been filling for 11 seconds, the gauge indicates the bottle contains 37 ounces of water.
We have two points on the line 
and 
.
Let us find slope of the line passing through these points.
We will write our required equation in slope-intercept form 
, where, m represents slope and b represents the y-intercept.
Let us find y-intercept by substituting and coordinates of point in slope intercept form.
Therefore, our required equation would be .
Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points
step 1
Find the slope with the first and second point
step 2
Find the slope with the first and third point
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
