Question

you are selling pandesal to raise money for a school field trip. Pandesal with cheese cost 8.00 pesos and ube pandesal cost 9.00 pesos You need to sell at least two of each kind. You want to sell at least 180 pesos worth of pandesal. Write and graph a system of linear inequalities that represent the information given above​

Answer 1

Answer:

Let's define:

C = number of pandesal with cheese that you sell

U = number of pandesal with ube that you sell.

If you sell these numbers of each, the total profit you get is:

C*8.00 pesos + U*9.00 pesos.

And yo want to get at least 180 pesos, then:

C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.

And you also want to sell two of each, then:

C ≥ 2

U ≥2

So the system of inequalities is:

C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.

C ≥ 2

U ≥2

If U is on the x-axis, and C is on the y-axis, then the graph is: (where the region at the right of the vertical line should be shaded)

Answer 2

Plotting the inequalities above using geogebra online graphing tool.

Let x represent the number of pandesal with cheese and y represent the number of ube with cheese

Since at least two of each kind is needed to be sold, hence:

x > 2, y > 2

At least 180 pesos worth of pandesal is needed to be sold, hence:

8x + 9y > 180  

Plotting the inequalities above using geogebra online graphing tool. The graph is attached below.

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