The average rate of change of the function between x = 10 to x = 16 is ______ m/s and represents the person's speed.

time (second)
x
10
13
16
19

distance (meters)
f(x)
60
78
96
114

Question

The average rate of change of the function between x = 10 to x = 16 is ______ m/s and represents the person's speed.

time (second)
x
10
13
16
19

distance (meters)
f(x)
60
78
96
114

anonymous · Answer

Slope formula.  (10,60) and (16,96)

anonymous · Answer

f(x) is just y, So if you have listed them in the correct order, 10 seconds (x) would be 60 meters (y)

anonymous · Answer

slope form ? so i would just do 96-60 = 36 over 16 -10 =6?

anonymous · Answer

$$\frac{ y2-y1 }{ x2-x1 }$$

anonymous · Answer

So yes, $$\frac{ 96-60 }{ 16-10 }$$

anonymous · Answer

36/6 = 6 Is that the answer?

anonymous · Answer

Yes, the slope would be 6 or 6/1 ( same thing)

anonymous · Answer

so would 6 be the average rate of change between the two?

anonymous · Answer

Average Rate of change is basically just slope, those time and distance you posted can be looked at as (x,y) coordinates. Yes 6 would be the rate of change.

anonymous · Answer

Okay thank you :)

anonymous · Answer

Np=)