Respuesta :
Answer: Â D) a quadratic function since the points are symmetric about the line x = 30
Step-by-step explanation:
Here, the given table,
Number of people   10      20     30      40      50
Profit per person     500     800   900     800     500
Since, when we plot the given point we found that,
About the line x = 30,
(10,500) is symmetric to (50,500)
And, (20,800) is symmetric to (40,800)
Also, with help of regression, we found that the function for the given point is,
[tex]f(x) = 60 x - x^2[/tex]
Which is a quadratic function.
Thus, Option D) a quadratic function since the points are symmetric about the line x = 30 is correct.

Answer: D) a quadratic function since the points are symmetric about the line x = 30
Step-by-step explanation:v
When we plot the given points on the graph we see that,
A parabola appears opening downwards about the line x = 30 because the point (10,500) is symmetric to point (50,500) and point (20,800) is symmetric to point (40,800).
Since, Parabola is the shape of graph of quadratic function.
Hence, Â Option D) a quadratic function since the points are symmetric about the line x = 30 is correct.
