Question

-bt/b2-4ac.

8. Use the quadratic formula (x
to solve the following real-world
2a
problem.
Your class is selling boxes of flower seeds as a fundraiser. The total profit
depends on the amount x that your class charges for each box of seeds. The
equation P = -0.5x2 + 25x – 150 models the profit of the fundraiser. What's the
smallest amount, in dollars , that you can charge and make a profit of at least 125
Dollars?

Answer 1

Given the equation

P is the amount of profit made. So willing to find how much x you can charge to make at least 125, you have to equate P with 125 because they are both profits

`125 = - 0.5x^(2) + 25x - 150 \\ 0 = - 0.5x^(2) + 25x - 275`

Now we are going to introduce Quadratic Formula to find the amount of x

`x = \frac{ - b + or - \sqrt{(b) ^(2) - 4ac } }{2a} </p><p>`

`x = \frac{ - (25) + \sqrt{(25) ^(2) - 4( - 0.5)( - 275) } }{2( - 0.5)}`

X = 16.33974596

Therefore 16.34 Dollars is the smallest amount you can charge to make the profit of 125 Dollars