Question

Dobbs Bowling Company made a profit of $1,588 during the month of December. The company models its profit, P, using the formula P=u^2-4u-8, where x is the number of bowling balls the company sells. How many bowling balls were sold in the month of December?

Answer 1

Answer: 42  bowls were sold in the month of December.

Step-by-step explanation:

Here, The company models its profit, P, using the formula $P=u^2-4 u-8$, 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,  $1588=u^2-4 u-8$

⇒  $u^2-4 u-8=1588$

⇒  $u^2-4 u-1596=0$

⇒   $u^2-42u+38u-1596=0$

⇒   $u(u-42)+38(u-42)=0$

⇒   $(u+38)(u-42)=0$

⇒  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