Question

Jaren is the manager of a department store. The morning of a big holiday sale, when Jaren opened the door, 12 customers were waiting outside to come into the store.

Each hour the store is open, another 13 customers enter the store, and 8 customers leave the store. Use this information to complete the table below.


Hours Open Number of Customers
In the Store
0 12
1 17
2 22
3
4


The x-values represent the number of hours the store is open. The y-values represent the number of customers in the store.

The equation which represents the number of customers in the store is

Answer 1

@iGreen

Answer 2

Each hour the store is open, another 13 customers enter the store, and 8 customers leave the store.

Answer 3

What's 13 - 8?

Answer 4

5

Answer 5

@iGreen

Answer 6

Yes, so 5 people enter the store every hour.

Answer 7

So add 5 to 22.

Answer 8

To find out how many people are in the store on the 3rd hour.

Answer 9

27

Answer 10

Yes, now add 5 to that again to find out how many people were in the store on the 4th hour.

Answer 11

@iGreen The first second and third are already done :/

Answer 12

And 32 BTW

Answer 13

Oh..so where are you?

Answer 14

On the 3 and 4 hours open

Answer 15

Hello?@iGreen

Answer 16

We just found those out..

3rd hour = 27
4th hour = 32

Answer 17

Is that it?

Answer 18

I think

Answer 19

But i have more

Answer 20

The equation which represents the number of customers in the store is y _= x +_ .

Answer 21

@iGreen

Answer 22

Is it 'y = x + _'

Answer 23

What we were adding to each of those numbers back there?

Answer 24

5

Answer 25

The x-values represent the number of hours the store is open. The y-values represent the number of customers in the store.

Answer 26

Yes, so that's what goes in the blank.

y = x + 5

Answer 27

Heres something to help us..

Answer 28

That answers all your questions.

Answer 29

So what we put in the chart are the answers?

Answer 30

@iGreen .Or do we add all of the people then thats y and we add the hours to get x?

Answer 31

@iGreen

Answer 32

@phi

Answer 33

???

Answer 34

@iGreen Finnally

Answer 35

Yeah..

Answer 36

27 and 32

Answer 37

Hours Open Number of Customers
In the Store
0 12
1 17
2 22
3 27
4 32

Answer 38

Well look at my last question

Answer 39

Do i add the hours for X?And do i add the people for y?

Answer 40

I don't understand what you're trying to say..

As 'x' increases by 1, 'y' increases by 5.

Answer 41

The x-values represent the number of hours the store is open. The y-values represent the number of customers in the store.

The equation which represents the number of customers in the store is y = _x + _.

Answer 42

I think they want the equation of the line that goes through your "points"
pick any two entries, say (0,12) and (1,17) and find the equation

Answer 43

Oh

Answer 44

Find the slope and plug it into point-slope form.

Answer 45

Along with one of the points.

Answer 46

What?

Answer 47

@iGreen

Answer 48

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{17-12}{1-0}\)

Answer 49

Simplify

Answer 50

Which one?

Answer 51

@iGreen

Answer 52

17 - 12 = ?

1 - 0 = ?

Divide after

Answer 53

5 divided by zero?

Answer 54

1 - 0 isn't 0

Answer 55

Ohhhh yeah 1 xD sorry

Answer 56

Yep, so 5 divided by 1.

Answer 57

5

Answer 58

Yes, that is the slope, so this is what we have so far:

y = 5x + _

Answer 59

The next one is the y-intercept, which is what 'y' is when x = 0..we can find this on our table..

Answer 60

Then what would y be?

Answer 61

Oh so y=0 because x isnt?

Answer 62

@iGreen Sorry OpenStudy crashed

Answer 63

Is y 0 @iGreen

Answer 64

@phi

Answer 65

@sleepyjess

Answer 66

When x is 0, what is y?

Answer 67

@sleepyjess Do you know?Because iGreen cant stay long enough...If x=0 then y would be....But if x=5 y would be 0???

Answer 68

What?

Answer 69

Read..........Tell me what you think.

Answer 70

??

Answer 71

If x is 5, then y would be 32+ 5

Answer 72

OpenStudy just lagged out

Answer 73

x=5 and y-37

Answer 74

Look at the table..what is 'y' when x is 0?

Hours Open Number of Customers
In the Store
0 12
1 17
2 22
3 27
4 32

Answer 75

12

Answer 76

Correct, that is the y-intercept, so our final equation is:

y = 5x + 12

Answer 77

Is that everything?

Answer 78

Thank you.

Answer 79

No problem, Happy to help \(\Huge\ddot\smile\)