Respuesta :
Solution:
Consider the Quadratic relationship, between its selling price for its newest tablet and the company's daily profit is given by,
f(x)= a x² + b x + c
Differentiating once
f'(x)= 2 a x + b
As, we have to find rate of change for the interval 200 ≤ x ≤ 300.
So, f(200)= 2 a ×200 + b= 400 a + b
f(300)= 2 a × 300 + b= 600 a + b
Rate of change for the interval 200 ≤ x ≤ 300
[tex]=\frac{f(b)-f(a)}{b-a}\\\\= \frac{600 a + b-400 a -b}{300-200}\\\\ =\frac{200a}{100}\\\\=2 a[/tex]
As considering , if the company is going through Profit, when the selling of the tablet is in the interval (200 ≤ x ≤ 300),
So, Reasonable estimate of the rate of change for the interval 200 ≤ x ≤ 300 considering if the company is making profit=2 →→Option (A)
