Question

Link to my problem it's the 3rd page number 20. Reasoning!:) thanks!
http://www.miamiartscharter.net/ourpages/auto/2012/12/11/50556382/Alg%20I%20Section%204%20Problems.pdf

Question- the graph at the right shows the vertical distance traveled as person A walks up a set of stairs and person B walks up on an escalator next to the stairs.!copy the graph. then draw a line that could represent the vertical distance traveled as Person C rides the escalator standing still. explain your reasoning

Answer 1

\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

Answer 2

do you have anything so far @Vanessa123270 ?

Answer 3

I keep getting confused @jim_thompson5910

Answer 4

so you weren't able to get started?

Answer 5

^^ I drew out the graph but it doesn't make sense @jim_thompson5910

Answer 6

can you describe what you drew?

Answer 7

I drew what it told me. I drew and copied the graph and drew out the lines. I also put distance and time on it and idk what to do next😖 @jim_thompson5910

Answer 8

which person is on the escalator other than person C?

Answer 9

I haven't wrote any info yet😖 could you plz kinda help me out? Haha

Answer 10

it's given in the problem

Answer 11

What do you mean?

Answer 12

which person is on the escalator other than person C? it's given in the problem

Answer 13

is it person A? or person B?

Answer 14

B?

Answer 15

hopefully that's not a guess

do you see how they say it in the instructions?

Answer 16

Ohh okay yeah I see it

Answer 17

what do you notice about the lines A and B?

Answer 18

Well line A is longer and B is shorter. B is pointing a bit up

Answer 19

what about their slopes?

Answer 20

Their slopes are like straight and some curved

Answer 21

which is the steeper line

Answer 22

Steeper line would be line A

Answer 23

you sure?

Answer 24

think of a hill or mountain

Answer 25

Oh okay then line B

Answer 26

do you see how B is steeper?

how if you tried to walk up it, it would be harder to climb compared to line A?

Answer 27

It would be hard to climb because an is steeper

Answer 28

Because B is steeper

Answer 29

yeah think of it like a ramp

Answer 30

steeper line = larger slope

Answer 31

Oh okay now that makes a bit more sense

Answer 32

since B is steeper, it has a larger slope, which basically means B is moving faster than A

Answer 33

B covers more distance in a shorter amount of time

Answer 34

Oh okay! Makes sense

Answer 35

Thank you so much!!:)

Answer 36

B is going faster because B is walking up the escalator

so would C go faster than B? or slower than B? and why?

Answer 37

Faster because the lines are Steep

Answer 38

is C on the stairs? or on the escalator?

Answer 39

Escalator

Answer 40

is C walking or standing still?

Answer 41

Standing still

Answer 42

so C will be moving slower than B

but faster than A

this is assuming that the escalator is moving relatively fast and A is walking up the stairs slowly

Answer 43

so we'd expect C to be somewhere in the middle in terms of slope

can you draw for me what line C could look like?

Answer 44

C would be in the middle but longer and steeper

Answer 45

click on the pencil of my drawing

you'll be able to draw on it

Answer 46

Oh okay! Cool

Answer 47

Wait I don't see a pencil sorry I'm new to this website

Answer 48

on the drawing I did

Answer 49

do you see a pencil in the upper right corner?

Answer 50

I don't

Answer 51

you should see this (see attached image)

Answer 52

Oh okay well it won't let me click on the pencil

Answer 53

are you on mobile or tablet?

Answer 54

Mobile

Answer 55

that might explain it

I'm on a desktop

Answer 56

anyways, C would be any line that is in between A and B, like this

Answer 57

Oh okay I got it

Answer 58

C is steeper than A, which means C is faster than A (because C is on an escalator and A is on the stairs)

B is steeper than C, so B is faster than C (because B is walking while C is still)

Answer 59

Oh okay thank u so much!!