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 springtime bouquets. P = -5b^2 + 450b - 1,000
Which statement is true if Sarah needs to make a profit of at least $9,000?
A. Sarah must sell more than 90 bouquets.
B. Sarah must sell between 40 and 50 springtime bouquets.
C. Sarah must sell between 0 and 40 springtime bouquets.
D. Sarah must sell more than 50 springtime bouquets.

The correct statement is Sarah must sell between 40 and 50 springtime bouquets true if Sarah needs to make a profit of at least $9,000.

Given that,

Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,

Where b is the number of springtime bouquets, [tex]P = -5b^2 + 450b - 1,000[/tex].

We have to determine,

Which statement is true if Sarah needs to make a profit of at least $9,000.

According to the question,

Sarah owns a flower shop and can model the profits from selling springtime bouquets using this equation,

[tex]P = -5b^2 + 450b - 1,000[/tex]

Divide the equation by -5,

[tex]P = -5b^2 + 450b - 1,000\\\\P = -b^2 + 90b - 200[/tex]

Factorize the equation for the value of profit,

[tex]b^2 - 90b +200 = 0\\\\b^2 -50b -40b +200= 0\\\\b ( b-50) - 40(b-50) = 0 \\\\(b-50) (b-40) = 0 \\\\b- 50 = 0, \ b = 50\\\\b - 40 = 0, \ b = 40[/tex]

Hence, Sarah must sell between 40 and 50 springtime bouquets.

To know more about Quadratic equations click the link given below.

https://brainly.com/question/22364785