anonymous
  • 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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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dan815
  • dan815
do you have answers for any of them yet
anonymous
  • anonymous
nope :(

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dan815
  • dan815
okay can you see these points look like they are part of a line
dan815
  • dan815
|dw:1436824669630:dw|
anonymous
  • anonymous
Yup
dan815
  • dan815
as you get more customer you have less and less hadgets
dan815
  • dan815
gadgets
anonymous
  • anonymous
okay
dan815
  • dan815
so that is a
dan815
  • dan815
it means remaining gadgets is directly proportional to the number of customers
anonymous
  • anonymous
Okay :)
dan815
  • dan815
xD
anonymous
  • anonymous
and b?
dan815
  • dan815
use those 2 points to find the slope
anonymous
  • anonymous
should start another one so you can get more medals?
anonymous
  • anonymous
I*
dan815
  • dan815
slope is given by change in height per change in horizontal distance
dan815
  • dan815
change in height is change in y coordinates change in horizontal distance is change in x coordinates
dan815
  • dan815
slope tells you height change for every horizontal distance change
dan815
  • dan815
(20,24) and (36,4) can you do the work from here?
anonymous
  • anonymous
i don't think so haha :(
dan815
  • dan815
you have 2 points, given in (x,y) form
anonymous
  • anonymous
okay
dan815
  • dan815
wht are the y coodinates of eahc point
anonymous
  • anonymous
24 and 4
dan815
  • dan815
okay so what is the change in y?
anonymous
  • anonymous
20?
dan815
  • dan815
okay well -20 we went lower so
anonymous
  • anonymous
oh ok
dan815
  • dan815
what about the change in x coordiantes now
anonymous
  • anonymous
20 and 36 so -16
dan815
  • dan815
well this time we went up so 16
anonymous
  • anonymous
oh :)
dan815
  • dan815
so what is the slope
dan815
  • dan815
-20 for y and 16 for x changes
dan815
  • dan815
how much y are we changing for every x?
anonymous
  • anonymous
umm
anonymous
  • anonymous
y=mx+b
anonymous
  • anonymous
what would m be?
anonymous
  • anonymous
@dan815
anonymous
  • anonymous
are you there? ^-^
anonymous
  • anonymous
m is the slope! :)
anonymous
  • anonymous
so -20=m(16)+b ?
anonymous
  • anonymous
Not exactly
anonymous
  • anonymous
Are you trying to solve for b) right now?
anonymous
  • anonymous
I am just going to walk you through it step by step.
anonymous
  • anonymous
First, we need to find the slope of the line.|dw:1436826415876:dw|
anonymous
  • anonymous
|dw:1436826505071:dw|
anonymous
  • anonymous
Your m value is -5/4
anonymous
  • anonymous
Next, we need to find the b value, or your x-intersect. (the place where the line crosses the x-axis)
anonymous
  • anonymous
|dw:1436826647783:dw|
anonymous
  • anonymous
Next, distribute the -5/4 to the terms in the parenthesis. |dw:1436826872444:dw|
anonymous
  • anonymous
add 24 to the 25|dw:1436826936685:dw|
anonymous
  • anonymous
you will get:|dw:1436826976176:dw| which is the answer to b)
anonymous
  • anonymous
Oh Okay! Thanks! What about C?
anonymous
  • anonymous
Give me one second to refresh myself on this problem! :)
anonymous
  • 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
  • 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
  • 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
  • anonymous
For (d),|dw:1436898341363:dw|
anonymous
  • anonymous
I hope I was able to help you! :)
anonymous
  • anonymous
D? @QueenofDrama

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