Select the correct answer.Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation, where b is the number of springtimebouquets.P=-582 + 4506 - 1,000Which statement is true if Sarah needs to make a profit of at least $9,000?

Select the correct answerSarah owns a flower shop and can model the profits from selling springtime bouquets using this equation where b is the number of spring class=

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SOLUTION

[tex]9000\ge-5b^2+450b-1000[/tex]

SOLVING THE INEQUALITY

[tex]\begin{gathered} -5b^2+450b-1000\le \:9000 \\ -b^2+90b-2000\le \:0 \end{gathered}[/tex][tex]-\left(b-40\right)\left(b-50\right)\le \:0[/tex][tex]\left(-\left(b-40\right)\left(b-50\right)\right)\left(-1\right)\ge \:0\cdot \left(-1\right)[/tex][tex]\left(b-40\right)\left(b-50\right)\ge \:0[/tex][tex]b\le \:40\quad \mathrm{or}\quad \:b\ge \:50[/tex]