Question

Love at First Bite orders flour in 5-lb bags and sugar in 3-lb bags. Their storage room currently has a maximum of 150 pounds of flour and sugar combined. Create a graph of the inequality at the left. ​

Answer 1

The inequality representing the maximum storage is 5x + 3y <=150

How to graph inequality function

Let x represent weight of a flour bag

5 bags weigh = 5*x = 5x

Let y represents weight of a sugar

3 bag of sugar = 3y

maximum storage capacity 150

5x + 3y <= 150

The inequality representing the maximum storage is 5x + 3y <=150

Now, we can create a graph of this inequality on a coordinate plane by the following pair of points

Table of values

x y

0 50

10 30

20 10

30 -10

40 -30

Plot these points on the coordinate plane.

Draw the boundary line 5x + 3y = 150

The area below the line is shade which represents the feasible region of the equation.

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