Answer:
The number of bowling balls were sold in the month of December is 42
Step-by-step explanation:
we are given
The company models its profit, P, using the formula
[tex]P(x)=x^2-4x-8[/tex]
where
x is the number of bowling balls the company sells
Dobb's Bowling Company made a profit of $1,588 during the month of December
So, we can set P=1588
and then we can solve for x
[tex]x^2-4x-8=1588[/tex]
[tex]x^2-4x-8-1588=1588-1588[/tex]
[tex]x^2-4x-1596=0[/tex]
now, we can factor it
[tex](x-42)(x+38)=0[/tex]
[tex](x-42)=0[/tex]
[tex]x=42[/tex]
[tex](x+38)=0[/tex]
[tex]x=-38[/tex]
So, the number of bowling balls were sold in the month of December is 42
