Question

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


t
(second)
d(t)
(feet)
3
126
4
224
5
350
6
504


What is the average rate of change of d(t) between 3 seconds and 5 seconds and what does it represent?

Answer 1

59.5 m/s; it represents the average speed of the object between 3 seconds and 5 seconds

112 m/s; it represents the average speed of the object between 3 seconds and 5 seconds

112 m/s; it represents the average distance traveled by the object between 3 seconds and 5 seconds

59.5 m/s; it represents the average distance traveled by the object between 3 seconds and 5 seconds

Answer 2

Well...\[Average Rate of Change=\frac{ f(b)-f(a) }{ b-a }\]Where f(b) is the y-value for 3 seconds (126), f(a) is the x-value for 3 seconds (3), b is the y-value for 5 seconds (350), and a is the x-value for 5 seconds (5)/

Answer 3

NO! It's the other way around. Sorry! Hold on!

Answer 4

f(b) is 350 and f(a) is 5. b is 126 and a is 3.

Answer 5

Sorry for the confusion.

Answer 6

Anyways, this is your new equation:\[Average Rate of Change=\frac{ 350-5 }{ 126-3 }\]

Answer 7

Solve that and you've got your answer. :)

Answer 8

AND it represents the average speed of the object between 3 seconds and 5 seconds.

Answer 9

345/123?

Answer 10

Yep. :) Simplify now.

Answer 11

2.8!

Answer 12

Hm.

Answer 13

oh simplify i divided lol...

Answer 14

No, thats the same thing.

Answer 15

oh ok...

Answer 16

Wow. Hm....

Answer 17

OH!

Answer 18

I think I'VE GOT IT.

Answer 19

\[Average Rate of Change=\frac{ 350-126 }{ 5-3 }\]

Answer 20

ahhhh!!!

Answer 21

112!

Answer 22

Okay, there's your answer. Lol.

Answer 23

Sorry for the confusion.

Answer 24

np!

Answer 25

so wait is it b?

Answer 26

@kewlgeek555 please help...

Answer 27

Yes, I believe it's B.

Answer 28

k thanks! neeed any help with anything?