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

The number of bowling balls were sold in the month of December is 42

Explanation:

we are given

The company models its profit, P, using the formula

`P(x)=x^2-4x-8`

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

`x^2-4x-8=1588`

`x^2-4x-8-1588=1588-1588`

`x^2-4x-1596=0`

now, we can factor it

`(x-42)(x+38)=0`

`(x-42)=0`

`x=42`

`(x+38)=0`

`x=-38`

So, the number of bowling balls were sold in the month of December is 42