Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s^2+9s-142 , where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000? a. s 42 c. s 51 d. s

Question

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s^2+9s-142 , where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000? a. s < 42 b. s > 42 c. s > 51 d. s < 51

anonymous · Answer

plug in 2000 into the equation as an inequality, 2000>s^2 + 9s -142.
Now solve for s, 
0> s^2 + 9s -2142
which gives you 0>(s+51)(s-42)

anonymous · Answer

would it be c?

anonymous · Answer

Nono, when you divide 0 by s+51, you get 0 again but this does not change the sign, so it leaves you with 0>(s-42)
Then you get 42>s :)

anonymous · Answer

thank you!! <3