Average rate of change from the function from 0 to 2.

Plug in x = 0

f(x) = 2x^2 + 5

f(0) = 2(0)^2 + 5

f(0) = 5

Plug in x = 2

f(x) = 2x^2 + 5

f(2) = 2(2)^2 + 5

f(2) = 13

Now use the formula below to find the average rate of change (AROC) from x = a to x = b

AROC = ( f(b) - f(a) )/( b-a )

AROC = ( f(2) - f(0) )/( 2-0 )

AROC = ( 13 - 5 )/( 2 - 0)

AROC = 8/2

AROC = 4

This is the same as finding the slope of the line through (0,5) and (2,13)

m = (y2 - y1)/(x2 - x1)

m = (13-5)/(2-0)

m = 8/2

m = 4

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft