Find the rate of change for each linear function. Time (s) Distance (m) x y 0 0 1 12 2 24 3 36 a. decrease of 12 m/s c. increase of 12 m/s b. decrease of 12 s/m d. increase of 14 m/s

Respuesta :

The rate of change for the linear function increase of 12 m/s ⇒ c

Step-by-step explanation:

The rat of change of the linear function is change of y divided by

change of x ⇒ Δy/Δx

The linear function of time (s) and distance (m), where the time is

represented by x-axis and the distance is represented by y-axis,

its rate of change is m/s

→ Time (s)         :   0    1     2     3

→ Distance (m) :    0    12   24   36

- You can find the rate of change from any two points of the

   table above

∵ The rate of change = Δy/Δx

∴ The rate of change = [tex]\frac{12-0}{1-0}=\frac{12}{1}=12[/tex]

∴ The rate of change is 12 m/s

∵ The rate of change is positive value

∴ The rate of change is increasing

The rate of change for the linear function increase of 12 m/s

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