Please Help, I dont understand this. The function shown in the image represents a robot’s distance, f, in inches, from a certain point on a balance beam with respect to time, x, in seconds. What is the average velocity (rate of change) over the interval –3 ≤ x ≤ –1?

Step-by-step explanation:

a.    

b.    

Step-by-step explanation:

Given

Direct Variation

D = 264 cm when T = 11 s

Calculating (a)

First, the constant of variation (k) as to be calculated;

Since, there exist a direct proportion; then,

Make k the subject of formula

D = 264 cm when T = 11 s; So

So: Solving for (a)

Substitute 408 for D and 24 for k in

Divide both sides by 24

Hence, time to move a distance of 408cm is 17s

Calculating (b)

Substitute 3 for T and 24 for k in

Hence, distance covered in 3 seconds is 72cm