Question

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)

Answer 1

@HelpBlahBlahBlah

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

at time = 30 it is 34 miles form its destination

Answer 6

@welshfella

Answer 7

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

Answer 8

hi welsh

Answer 9

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

Answer 10

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.

Answer 11

[0,positive infinitey)

Answer 12

?

Answer 13

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

Answer 14

Oh okay

Answer 15

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

Answer 16

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

Answer 17

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

Answer 18

Right?

Answer 19

[0 , +INF) is domain for car B

Answer 20

yes thats right for A

Answer 21

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

Answer 22

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

Answer 23

square bracket after the 60

Answer 24

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)

Answer 25

Oh sorry i mean [0,60]

Answer 26

yes thats right

Answer 27

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

Answer 28

yes

Answer 29

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

Answer 30

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

Answer 31

Okay

Answer 32

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

Answer 33

@welshfella Could you provide me with the answer im hopeless

Answer 34

what is 40 - 34 ?
and 30 - 20 ?

i'm sure you can do that

Answer 35

40-34= 6 and 30-20 = 10

Answer 36

what do i do with theese numbers?

Answer 37

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

Answer 38

Okay

Answer 39

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

Answer 40

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

Answer 41

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

Answer 42

I hope this chart does not change our answers

Answer 43

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

Answer 44

@welshfella Is that right

Answer 45

?

Answer 46

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

Answer 47

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

Answer 48

speed = (40.05648 - 32.72904) / 10

Answer 49

ok so its .732744

Answer 50

So .732744 my average rate of change??

Answer 51

kms / minute Yes

Answer 52

yes

Answer 53

Okay so my Anser for part D is

Answer 54

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

Answer 55

Is that correct?

Answer 56

yes

Answer 57

Thanks for your help