Amazing gadget corporation has determined a quadratic relationship between its selling price for its newest tablet and the company's daily profit. which of the following would be a reasonable estimate of the rate of change for the interval 200 ≤ x ≤ 300? a. 2 b.-2 c.1/3 d.-1/3

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

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)

1/3 + 1/5 = 8/15.

step-by-step explanation:

hope it

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

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