Question

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

t (seconds): 1, 2, 3, 4
d(t)(meters): 15, 60, 135, 240

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

A. 50 m/s; it represents the average speed of the object between 2 seconds and 4 seconds
B. 90 m/s; it represents the average speed of the object between 2 seconds and 4 seconds
C. 90 m/s; it represents the average distance traveled by the object between 2 seconds and 4 seconds
D. 50 m/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds

Answer 1

B

Explanation:

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

To understand what it represents: it would be speed instead of distance because when you divided it was distance over time and thats the formula for speed.

Answer 2

The answer is B because its going 90m/s and and in 2 seconds its traveled 180 meters which if you add to 60 gives you 240