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

s > 42

Step-by-step explanation: INCOMPLETE QUESTION, PROBLEM STATEMENT DOES NOT GIVE THE MODELING FUNCTION.

I´VE FOUND IN NTERNET   PROFIT

p(s) = s² + 9*s - 142

Then we have

s² + 9*s - 142 > 2000

rearrange that inequation

s² + 9*s  - 142 > 2000      ⇒  s² + 9*s  - 2142  >  0

we complete the expression as a perfect quadratic, with the help of two number that add +9  and multiplying  - 2142

Numbers are  51 and  - 42    

then

factoring that expression as a perfect quadratic

( s + 51 )* ( s - 42 ) > 0

For what  have two solution, and we dismiss the negative value since the numbers of shirts could not be negative, we get

s - 42 > 0

s > 42  the solution

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.