Which of the given functions have an average rate of change of -12 on the interval [0, 2]?

The answer is f(x) = 7 - 12x

Step-by-step explanation:

f(x) = 7 - 12x has average rate -12 on the interval [0 , 2] because:

f(0) = 7 - 12(0) = 7

f(1) = 7 - 12(1) = -5

f(2) = 7 - 12(2) = -17

The difference between 7 , -5 , -17 is constant and equal -12

∴ The average rate of change is -12

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm