Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730. They have received pre-sale orders of 80 t-shirts and 40 hats. Graph a system of linear inequalities that shows the number of t-shirts and hats they must sell in order to reach their goal. Use x for the number of t-shirts and y for the number of hats.

Choose the graph that shows all the possible combinations. List two possibilities.

Question

15-07-2022
Mathematics

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Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730. They have received pre-sale orders of 80 t-shirts and 40 hats. Graph a system of linear inequalities that shows the number of t-shirts and hats they must sell in order to reach their goal. Use x for the number of t-shirts and y for the number of hats.

Choose the graph that shows all the possible combinations. List two possibilities.

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priyankapandeyVT priyankapandeyVT · Answer 1 · 2022-07-19T18:02:47+02:00

The required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).

Student Council is selling t-shirts and hats for $21 and $14, respectively. The club needs to raise at least $2730.

What is inequality?

Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.

Let x for the number of t-shirts and y for the number of hats.

Now,
equation for to raise at least $2730.
21x + 14y > 2730
3x + 2y > 390

Two possibility can be caroled out from the graph i,e. (100,45) and (80,75).

Thus, the required inequality is 3x + 2y > 390 and two possibilities is given by (100,45) and (80,75).

Learn more about inequality here:

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