Answer:
y = 1/6x - 9
Step-by-step explanation:
The slope-form intercept formula is y = mx + b
As we can see from the table there is a pattern to the whole data in the table. A closer look reveals that when we multiply the number of students, n by the cost per student, c we get a constant number, 72. Let us see what we mean here:




Thus, the function which models the data is the
.
Now, let us move on to the next part of the question:
If 12 students go on the trip then the cost per student as per this model will be:
dollars=$6
Therefore, out of the given options, the option the correct option is number B.
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
.