- anonymous

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.

- jamiebookeater

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- anonymous

##### 1 Attachment

- dan815

do you have answers for any of them yet

- anonymous

nope :(

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## More answers

- dan815

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

- dan815

|dw:1436824669630:dw|

- anonymous

Yup

- dan815

as you get more customer you have less and less hadgets

- dan815

gadgets

- anonymous

okay

- dan815

so that is a

- dan815

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

- anonymous

Okay :)

- dan815

xD

- anonymous

and b?

- dan815

use those 2 points to find the slope

- anonymous

should start another one so you can get more medals?

- anonymous

I*

- dan815

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

- dan815

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

- dan815

slope tells you height change for every horizontal distance change

- dan815

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

- anonymous

i don't think so haha :(

- dan815

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

- anonymous

okay

- dan815

wht are the y coodinates of eahc point

- anonymous

24 and 4

- dan815

okay so what is the change in y?

- anonymous

20?

- dan815

okay well -20 we went lower so

- anonymous

oh ok

- dan815

what about the change in x coordiantes now

- anonymous

20 and 36 so -16

- dan815

well this time we went up so 16

- anonymous

oh :)

- dan815

so what is the slope

- dan815

-20 for y and 16 for x changes

- dan815

how much y are we changing for every x?

- anonymous

umm

- anonymous

y=mx+b

- anonymous

what would m be?

- anonymous

- anonymous

are you there? ^-^

- anonymous

m is the slope! :)

- anonymous

so -20=m(16)+b ?

- anonymous

Not exactly

- anonymous

Are you trying to solve for b) right now?

- anonymous

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

- anonymous

First, we need to find the slope of the line.|dw:1436826415876:dw|

- anonymous

|dw:1436826505071:dw|

- anonymous

Your m value is -5/4

- anonymous

Next, we need to find the b value, or your x-intersect. (the place where the line crosses the x-axis)

- anonymous

|dw:1436826647783:dw|

- anonymous

Next, distribute the -5/4 to the terms in the parenthesis. |dw:1436826872444:dw|

- anonymous

add 24 to the 25|dw:1436826936685:dw|

- anonymous

you will get:|dw:1436826976176:dw| which is the answer to b)

- anonymous

Oh Okay! Thanks! What about C?

- anonymous

Give me one second to refresh myself on this problem! :)

- anonymous

For C, we will mainly be looking at the slope of the equation. The slope is -5/4. This means that for every 4 customers there are, the number of gadgets available goes down by 5.|dw:1436891744808:dw|

- anonymous

C does say for EACH additional customer, so you will have to figure out how many gadgets are gone when one customer attends the store.

- anonymous

To find that out, you would take the 5 and divide it by four. You would get 1.25. That is the number of gadgets each customer individually would purchase. So to answer C: For each additional customer, the total number of gadgets decreases by 1.25.

- anonymous

For (d),|dw:1436898341363:dw|

- anonymous

I hope I was able to help you! :)

- anonymous

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