Respuesta :
Answer: 42 bowls were sold in the month of December.
Step-by-step explanation:
Here, The company models its profit, P, using the formula [tex]P=u^2-4 u-8[/tex], where u is the number of bowling balls the company sells.
Since, Dobbs Bowling Company made a profit of $1,588 during the month of December.
Therefore, [tex]1588=u^2-4 u-8[/tex]
⇒ [tex]u^2-4 u-8=1588[/tex]
⇒ [tex]u^2-4 u-1596=0[/tex]
⇒ [tex]u^2-42u+38u-1596=0[/tex]
⇒ [tex]u(u-42)+38(u-42)=0[/tex]
⇒ [tex](u+38)(u-42)=0[/tex]
⇒ u = 42 and -38
Since, The number of balls can not be negative.
Therefore, total number of the bowling balls in December that are sold = 42
