Question

The table below shows the distance d(t) in meters that an object travels in t seconds:

t
(seconds)


d(t)
(meters)



1

15


2

60


3

135


4

240



What is the average rate of change of d(t) between 2 seconds and 4 seconds, and what does it represent

Answer 1

90 m/s; it represents the average speed of the object between 2 seconds and 4 seconds

Explanation:

f(b) - f(a) / b-2

First you would subtract 240-60 and 4-2 to get and then divide it to get 90m/s

Answer 2

(2,60)(4,240)......t = x and d(t) = y
average rate of change (slope) is (y2 - y1) / (x2 - x1)
slope = (240 - 60) / (4 - 2) = 180/2 = 90 m/s

It represents the average distance traveled by the object between 2 seconds and 4 seconds