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1 answer:
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Answer:
Option (1)
Step-by-step explanation:
Let the number of adult tickets sold = x
And the number of child tickets sold = y
Cost of adult tickets sold = $8x
And the cost of child tickets sold = $4y
If the theater company needs to earn at least $1280,
8x + 4y ≥ 1280
2x + y ≥ 320 ---------(1)
Since community center has a capacity of 240 people,
x + y ≤ 240 ----------(2)
By graphing these inequalities with the help of a graphing tool,
Shaded area above the solid line will be represented by inequality (1) (red line)
And the shaded area below the line will be the represented by inequality (2) (blue line)
Common area of both the shaded regions will represent the solution area .
Option (1) will be the answer.
