Question

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function

Answer 1

The question is incomplete:

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?

Answer:

s>42

Reyna needs to sell more than 42 T-shirts.

Step-by-step explanation:

Given that you have to find the amount of T-shirts that should be sold to earn a profit of more than $2,000, you have to find the amount required to earn $2,000 by replacing p with 2,000 and solving for s:

s^2+9s-142=2000

s^2+9s-2142=0

(s+$\frac{9}{2}$)^2-2142-($\frac{9}{2}$)^2=0

(s+$\frac{9}{2}$)^2=2142+($\frac{9}{2}$)^2

(s+$\frac{9}{2}$)^2=2142+$\frac{81}{4}$

(s+$\frac{9}{2}$)^2=$\frac{8649}{4}$

$\sqrt{(s+\frac{9}{2})^2 } =\sqrt{\frac{8649}{4} }$

s+$\frac{9}{2}$=$\frac{93}{2}$

s=$\frac{93}{2}- \frac{9}{2}$

s=$\frac{186-18}{4}$

s=$\frac{168}{4}$

s=42

According to this, Reyna needs to sell more than 42 T-shirts to earn a profit of more than $2,000.

Answer 2

Answer:

s > 42 or B on edgenuity

Step-by-step explanation: