Question

PLZ HELP!!!!!!!!!!!!!!!!!!
Y=-6x^2+100x-180. What do the zeroes mean in context?

A.) If soccer balls are sold for $2.05 each, the store will make a daily profit of $14.61
B.) If soccer balls are sold for $14.61 each, the store will make a daily profit of $2.05.
C.) If soccer balls are sold for $2.05 or $14.61 each, the store will maximize their daily profit.
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Answer 1

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= $-6x^2+100x-180$

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x $= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$

$= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$

$= \frac{-100\pm\sqrt{5.680}}{-12}$

$= \frac{-100 + 75.3658}{-12}$

$= \frac{24.6342}{-12}$

x^1 = -2.05285

Now

x^2  $= \frac{-100 - 75.3658}{-12}$

$= \frac{- 175.3658}{-12}$

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

Answer 2

Answer:

If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.