Part A: What does the x-intercept of the function for car 1 represent? (2 points)
Part B: What does the y-intercept of the function for car 2 represent? (2 points)
Part C: What is the domain of the functions for car 1 and car 2? (2 points)
Part D: What is the average rate of change from x = 20 to x = 30 for the function representing the motion for car 2? What does the value of this average rate of change represent? (4 points)

- MeowLover17

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- MeowLover17

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- MeowLover17

##### 1 Attachment

- welshfella

A x-intercept is the time 60 minutes he has taken to travel to his destination.

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## More answers

- welshfella

B This represents the distance (60 km) away form the cars destination

- welshfella

C The domain is the values of the times ( what do you think the values are?)

- welshfella

D:- Hint at time = 20 car 2 is 40 miles for its destination
at time = 30 it is 34 miles form its destination

- MeowLover17

@welshfella

- MeowLover17

@welshfella I dont understand C nor D. could you please explain more?

- MeowLover17

hi welsh

- MeowLover17

So about c i dont understand what domain (x) values they want

- welshfella

The domain is the possible values of the horizontal (time) axis. From the diagram what do you think they are? Note that you have to consider both Car A and Car B together.

- MeowLover17

[0,positive infinitey)

- MeowLover17

?

- welshfella

oopps sorry I think they want a domain for Car A and another for Car B.

- MeowLover17

Oh okay

- welshfella

Thats the correct domain for car B
what about Car A?

- MeowLover17

could you give me the domain for car b and i figure it out for car a?

- MeowLover17

I got it so for A the domain would be [0,60)

- MeowLover17

Right?

- welshfella

[0 , +INF) is domain for car B

- welshfella

yes thats right for A

- MeowLover17

Yes as i said earlier so the domain for car A is [0,60)

- welshfella

no
60 is INCLUDED in the Domain so it is [0,60]

- welshfella

square bracket after the 60

- MeowLover17

okay cool so for part C
Part C: The domain for Car A would be [0,60) and for Car B the domain is [0,+INF)

- MeowLover17

Oh sorry i mean [0,60]

- welshfella

yes thats right

- MeowLover17

And you provided me with the answers for a and b right?

- welshfella

yes

- MeowLover17

So all i need is D please explain it cause i dont understand it what so ever

- welshfella

the average rate of change = average speed of Car 2 during the period 20 to 30 minutes

- MeowLover17

Okay

- welshfella

and this is (40-34) / (30-20) kms / minute

- MeowLover17

@welshfella Could you provide me with the answer im hopeless

- welshfella

what is 40 - 34 ?
and 30 - 20 ?
i'm sure you can do that

- MeowLover17

40-34= 6 and 30-20 = 10

- MeowLover17

what do i do with theese numbers?

- welshfella

right so speed = 6 / 10 = 0.6 kms/minute

- MeowLover17

Okay

- MeowLover17

sorry i didnt provide you with this char Time
(in minutes)
x 0 10 20 30 40 50 60
Car 1
(in km)
y 60 50 40 30 20 10 0
Car 2
(in km)
y 60 49.02438 40.05648 32.72904 26.742 21.8502 17.85318

- MeowLover17

Time
(in minutes)
x 0 10 20 30 40 50 60
Car 1
(in km)
y 60 50 40 30 20 10 0
Car 2
(in km)
y 60 49.02438 40.05648 32.72904 26.742 21.8502 17.85318

- welshfella

this value represents the car's average speed between times 20 and 30 minutes

- MeowLover17

I hope this chart does not change our answers

- MeowLover17

So my answer for Part D would be
Part D: The average rate of change is speed = 6 / 10 = 0.6 kms/minute, and this represents the car's average speed between times 20 and 30 minutes

- MeowLover17

@welshfella Is that right

- MeowLover17

?

- welshfella

the speed of car B will be different as i just read the values off the graph

- MeowLover17

Oh okay so my second part of the answer is right but now i need to figure out the speed using the chart?

- welshfella

speed = (40.05648 - 32.72904) / 10

- MeowLover17

ok so its .732744

- MeowLover17

So .732744 my average rate of change??

- welshfella

kms / minute Yes

- welshfella

yes

- MeowLover17

Okay so my Anser for part D is

- MeowLover17

The average rate of change is 0.732744 kms/minutes and this represents the car's average speed between times 20 and 30 minutes.

- MeowLover17

Is that correct?

- welshfella

yes

- MeowLover17

Thanks for your help

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