<u>Answer:</u>
The correct answer option is D.
.
<u>Step-by-step explanation:</u>
We are to find the equation of a line which is perpendicular to the following line and passes through the point (3, 4):

We know that an equation perpendicular to another equation has a slope which is the negative reciprocal of the first equation.
So our required slope is 
Finding the y-intercept:



Therefore, the equation of the line perpendicular to
and passing through the point (3, 4) is
.
If you think about how it works when cups are stacked. you will begin with the height of the cup plus the height of the lip you would then add just the heigt of the lips until you get to the height needed. so your answer should be 19 cups
Once you solve this equation it is y= 1/2x - 5/2