Question

PLEASE HELP!!!!!!!

Answer 1

Part A: What does the x-intercept of the function for car 1 represent?

Part B: What does the y-intercept of the function for car 2 represent?

Part C: What is the domain of the functions for car 1 and car 2?

Part D: What is the average rate of change from x = 20 to x = 40 for the function representing the motion for car 2? What does the value of this average rate of change represent?

Answer 2

Okay, let's begin. :D

Answer 3

ok

Answer 4

If x is the distance, and y is the time, then they are driving somewhere. As time passes, they get closer, thus, the distance decreases. So what do you think happens when x = 0?

Answer 5

They reached the destination

Answer 6

?

Answer 7

Yup! :D

Answer 8

So what do you think the y intercept means?

Answer 9

They started driving?

Answer 10

Correct. You're smarter than you think you are. :)

Answer 11

:)

Answer 12

So what about part C?

Answer 13

Do you know what a domain means?

Answer 14

no

Answer 15

Okay, the domain is like the true values of something. For example, I can't have - 4 apples.

Answer 16

I could have 0, or any number of positive integers.

Answer 17

Do you see what I mean?

Answer 18

yeah :)

Answer 19

So, while the cars can drive in reverse, can they travel backwards through time?

Answer 20

no ;)

Answer 21

So x can't ever = -x

Answer 22

no ;)

Answer 23

So there is your domain.

Answer 24

But you should write it as "x cannot be a negative value."

Answer 25

oh, thanks ;)

Answer 26

Now for the last one.

Answer 27

yes

Answer 28

Part D: What is the average rate of change from x = 20 to x = 40 for the function representing the motion for car 2? What does the value of this average rate of change represent?

Answer 29

ok. so what do i do?

Answer 30

Let me input the equation in here for you.

Answer 31

\[A(x) = \frac{ f(b) - f(a) }{ b - a }\]

Answer 32

Now we plug in and solve for A(x).

Answer 33

ok. so what do u plug in ?

Answer 34

20 and 40. :D b = 20 a = 40

Answer 35

Want me to write the equation out so you can put it on paper?

Answer 36

sure

Answer 37

\[A(x) = \frac{ f(20) - f(40) }{ 20 - 40 }\]

Answer 38

hold on, let me figure this out

Answer 39

You can't figure it out yet, I just wanted you to write that down. xD

Answer 40

We've gotta solve for f(20) and f(40) so we can replace those values.

Answer 41

You there?

Answer 42

ya :)

Answer 43

Okay, so we need to create our function for the graph.

Answer 44

ok

Answer 45

Hmm, I can't remember how to find the slope of a curved line.

Answer 46

@Hero can you help me help Rosie please? :D

Answer 47

@dan815

Answer 48

Well I'm tired and I don't remember how to calculate the slope of a curved line. O.O

Answer 49

Just ask that last part as a separate question and @ hero and dan.

Answer 50

ok. well thank 4 your help :)

Answer 51

No problem buddy. :)