#1**+1 **

Let the x axis be the number of bags of popcorn she can buy and let the y axis be the number of drinks she can buy

The max number of bags of popcorn she can buy is 30/5 = 6

So....we have the point (6, 0) on the gragh

And the max number of drinks that she can buy is 30 / 2.50 = 12

So...the point (0, 12) is on the graph

So......the intercepts are (6, 0) and (0, 12)

The slope of the line connecting these is [ 12 - 0 ] / [ 0 - 6] = 12 / -6 = -2

Using the point (0, 12)....the equation of the line joining these points is given by

y = -2x + 12

Here's the graph....https://www.desmos.com/calculator/gcswbeikjv

Note that all integer coordinates on the graph represent the bags of popcorn / number of drinks that she can buy at each point.....and the total price will be $30 at each of these points

CPhill Jan 23, 2019