Question

A shop at the mall sells gadgets. The scatter plot shows the total number of customers and the remaining gadgets throughout the day.

(a) What is the association between the remaining gadgets and the total number of customers?

(b) Use the two data points closest to the line, (20,24) and (36,4), to write an equation for the line. Write the equation in slope-intercept form.

(c) According to the equation, for each additional customer, what happens to the total remaining gadgets?

(d) According to the equation, predict the remaining gadgets when there are 32 total customers.

Answer 1

do you have answers for any of them yet

Answer 2

nope :(

Answer 3

okay can you see these points look like they are part of a line

Answer 4

Yup

Answer 5

as you get more customer you have less and less hadgets

Answer 6

gadgets

Answer 7

okay

Answer 8

so that is a

Answer 9

it means remaining gadgets is directly proportional to the number of customers

Answer 10

Okay :)

Answer 11

xD

Answer 12

and b?

Answer 13

use those 2 points to find the slope

Answer 14

should start another one so you can get more medals?

Answer 15

I*

Answer 16

slope is given by change in height per change in horizontal distance

Answer 17

change in height is change in y coordinates
change in horizontal distance is change in x coordinates

Answer 18

slope tells you height change for every horizontal distance change

Answer 19

(20,24) and (36,4)
can you do the work from here?

Answer 20

i don't think so haha :(

Answer 21

you have 2 points, given in (x,y) form

Answer 22

okay

Answer 23

wht are the y coodinates of eahc point

Answer 24

24 and 4

Answer 25

okay so what is the change in y?

Answer 26

20?

Answer 27

okay well -20 we went lower so

Answer 28

oh ok

Answer 29

what about the change in x coordiantes now

Answer 30

20 and 36 so -16

Answer 31

well this time we went up so 16

Answer 32

oh :)

Answer 33

so what is the slope

Answer 34

-20 for y and 16 for x changes

Answer 35

how much y are we changing for every x?

Answer 36

umm

Answer 37

y=mx+b

Answer 38

what would m be?

Answer 39

@dan815

Answer 40

are you there? ^-^

Answer 41

m is the slope! :)

Answer 42

so -20=m(16)+b ?

Answer 43

Not exactly

Answer 44

Are you trying to solve for b) right now?

Answer 45

I am just going to walk you through it step by step.

Answer 46

First, we need to find the slope of the line.