Josie is making baked goods for her cheer squad’s bake sale. She is selling cookies for $1.50 and brownies for $3. She wants to make at least $45 from her baked goods, but only has enough batter to make 10 brownies. A. Define your variables. x = y = B. Write a system of inequalities that represents the scenario. C. Solve for y then Graph the system on inequalities and shade the solutions (overlap). Be sure to label your axes.

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a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal